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Finding the Fourth Proportional to 10,794.76, 14,888.82 and 8,142.28

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Solution

The fourth proportional to 10,794.76, 14,888.82 and 8,142.28 is: 11,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.76 : 14,888.82 = 8,142.28 : x
  2. Step 2: Convert to fraction form
    10,794.76/14,888.82 = 8,142.28/x
  3. Step 3: Cross multiply
    10,794.76x = 14,888.82 × 8,142.28
  4. Step 4: Simplify right side
    10,794.76x = 121,228,941.31
  5. Step 5: Solve for x
    x = 121,228,941.31/10,794.76
  6. Step 6: Final answer
    x = 11,230.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.