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Finding the Fourth Proportional to 10,489.25, 14,475.17 and 5,773.50

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Solution

The fourth proportional to 10,489.25, 14,475.17 and 5,773.50 is: 7,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.25 : 14,475.17 = 5,773.50 : x
  2. Step 2: Convert to fraction form
    10,489.25/14,475.17 = 5,773.50/x
  3. Step 3: Cross multiply
    10,489.25x = 14,475.17 × 5,773.50
  4. Step 4: Simplify right side
    10,489.25x = 83,572,408.43
  5. Step 5: Solve for x
    x = 83,572,408.43/10,489.25
  6. Step 6: Final answer
    x = 7,967.43

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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.