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Finding the Fourth Proportional to 10,542.70, 14,560.89 and 7,179.68

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Solution

The fourth proportional to 10,542.70, 14,560.89 and 7,179.68 is: 9,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.70 : 14,560.89 = 7,179.68 : x
  2. Step 2: Convert to fraction form
    10,542.70/14,560.89 = 7,179.68/x
  3. Step 3: Cross multiply
    10,542.70x = 14,560.89 × 7,179.68
  4. Step 4: Simplify right side
    10,542.70x = 104,542,567.12
  5. Step 5: Solve for x
    x = 104,542,567.12/10,542.70
  6. Step 6: Final answer
    x = 9,916.11

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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.