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Finding the Fourth Proportional to 10,539.96, 14,545.14 and 5,759.97

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Solution

The fourth proportional to 10,539.96, 14,545.14 and 5,759.97 is: 7,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.96 : 14,545.14 = 5,759.97 : x
  2. Step 2: Convert to fraction form
    10,539.96/14,545.14 = 5,759.97/x
  3. Step 3: Cross multiply
    10,539.96x = 14,545.14 × 5,759.97
  4. Step 4: Simplify right side
    10,539.96x = 83,779,570.05
  5. Step 5: Solve for x
    x = 83,779,570.05/10,539.96
  6. Step 6: Final answer
    x = 7,948.76

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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.