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Finding the Fourth Proportional to 10,778.64, 14,873.98 and 6,062.64

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Solution

The fourth proportional to 10,778.64, 14,873.98 and 6,062.64 is: 8,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.64 : 14,873.98 = 6,062.64 : x
  2. Step 2: Convert to fraction form
    10,778.64/14,873.98 = 6,062.64/x
  3. Step 3: Cross multiply
    10,778.64x = 14,873.98 × 6,062.64
  4. Step 4: Simplify right side
    10,778.64x = 90,175,586.11
  5. Step 5: Solve for x
    x = 90,175,586.11/10,778.64
  6. Step 6: Final answer
    x = 8,366.14

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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.