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Finding the Fourth Proportional to 10,489.20, 14,474.76 and 5,773.84

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Solution

The fourth proportional to 10,489.20, 14,474.76 and 5,773.84 is: 7,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.20 : 14,474.76 = 5,773.84 : x
  2. Step 2: Convert to fraction form
    10,489.20/14,474.76 = 5,773.84/x
  3. Step 3: Cross multiply
    10,489.20x = 14,474.76 × 5,773.84
  4. Step 4: Simplify right side
    10,489.20x = 83,574,948.28
  5. Step 5: Solve for x
    x = 83,574,948.28/10,489.20
  6. Step 6: Final answer
    x = 7,967.71

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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.