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Finding the Fourth Proportional to 10,418.93, 14,363.17 and 7,429.58

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Solution

The fourth proportional to 10,418.93, 14,363.17 and 7,429.58 is: 10,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.93 : 14,363.17 = 7,429.58 : x
  2. Step 2: Convert to fraction form
    10,418.93/14,363.17 = 7,429.58/x
  3. Step 3: Cross multiply
    10,418.93x = 14,363.17 × 7,429.58
  4. Step 4: Simplify right side
    10,418.93x = 106,712,248.75
  5. Step 5: Solve for x
    x = 106,712,248.75/10,418.93
  6. Step 6: Final answer
    x = 10,242.16

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