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Finding the Fourth Proportional to 10,535.88, 14,539.52 and 5,755.86

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Solution

The fourth proportional to 10,535.88, 14,539.52 and 5,755.86 is: 7,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.88 : 14,539.52 = 5,755.86 : x
  2. Step 2: Convert to fraction form
    10,535.88/14,539.52 = 5,755.86/x
  3. Step 3: Cross multiply
    10,535.88x = 14,539.52 × 5,755.86
  4. Step 4: Simplify right side
    10,535.88x = 83,687,441.59
  5. Step 5: Solve for x
    x = 83,687,441.59/10,535.88
  6. Step 6: Final answer
    x = 7,943.09

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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.