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Finding the Fourth Proportional to 11,074, 15,281.74 and 6,038.08

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Solution

The fourth proportional to 11,074, 15,281.74 and 6,038.08 is: 8,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 15,281.74 = 6,038.08 : x
  2. Step 2: Convert to fraction form
    11,074/15,281.74 = 6,038.08/x
  3. Step 3: Cross multiply
    11,074x = 15,281.74 × 6,038.08
  4. Step 4: Simplify right side
    11,074x = 92,272,368.66
  5. Step 5: Solve for x
    x = 92,272,368.66/11,074
  6. Step 6: Final answer
    x = 8,332.34

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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.