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Finding the Fourth Proportional to 7,641.31, 11,462.07 and 5,562.45

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Solution

The fourth proportional to 7,641.31, 11,462.07 and 5,562.45 is: 8,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.31 : 11,462.07 = 5,562.45 : x
  2. Step 2: Convert to fraction form
    7,641.31/11,462.07 = 5,562.45/x
  3. Step 3: Cross multiply
    7,641.31x = 11,462.07 × 5,562.45
  4. Step 4: Simplify right side
    7,641.31x = 63,757,191.27
  5. Step 5: Solve for x
    x = 63,757,191.27/7,641.31
  6. Step 6: Final answer
    x = 8,343.75

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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.