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Finding the Fourth Proportional to 10,024.04, 13,845.04 and 7,517.12

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Solution

The fourth proportional to 10,024.04, 13,845.04 and 7,517.12 is: 10,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.04 : 13,845.04 = 7,517.12 : x
  2. Step 2: Convert to fraction form
    10,024.04/13,845.04 = 7,517.12/x
  3. Step 3: Cross multiply
    10,024.04x = 13,845.04 × 7,517.12
  4. Step 4: Simplify right side
    10,024.04x = 104,074,827.08
  5. Step 5: Solve for x
    x = 104,074,827.08/10,024.04
  6. Step 6: Final answer
    x = 10,382.52

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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.