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Finding the Fourth Proportional to 10,580.86, 15,854.01 and 6,672.70

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Solution

The fourth proportional to 10,580.86, 15,854.01 and 6,672.70 is: 9,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.86 : 15,854.01 = 6,672.70 : x
  2. Step 2: Convert to fraction form
    10,580.86/15,854.01 = 6,672.70/x
  3. Step 3: Cross multiply
    10,580.86x = 15,854.01 × 6,672.70
  4. Step 4: Simplify right side
    10,580.86x = 105,789,052.53
  5. Step 5: Solve for x
    x = 105,789,052.53/10,580.86
  6. Step 6: Final answer
    x = 9,998.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.