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Finding the Fourth Proportional to 10,489.71, 14,475.78 and 5,773.96

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Solution

The fourth proportional to 10,489.71, 14,475.78 and 5,773.96 is: 7,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.71 : 14,475.78 = 5,773.96 : x
  2. Step 2: Convert to fraction form
    10,489.71/14,475.78 = 5,773.96/x
  3. Step 3: Cross multiply
    10,489.71x = 14,475.78 × 5,773.96
  4. Step 4: Simplify right side
    10,489.71x = 83,582,574.69
  5. Step 5: Solve for x
    x = 83,582,574.69/10,489.71
  6. Step 6: Final answer
    x = 7,968.05

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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.