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Finding the Fourth Proportional to 10,489.50, 14,475.51 and 5,773.88

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Solution

The fourth proportional to 10,489.50, 14,475.51 and 5,773.88 is: 7,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.50 : 14,475.51 = 5,773.88 : x
  2. Step 2: Convert to fraction form
    10,489.50/14,475.51 = 5,773.88/x
  3. Step 3: Cross multiply
    10,489.50x = 14,475.51 × 5,773.88
  4. Step 4: Simplify right side
    10,489.50x = 83,579,893.87
  5. Step 5: Solve for x
    x = 83,579,893.87/10,489.50
  6. Step 6: Final answer
    x = 7,967.96

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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.