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Finding the Fourth Proportional to 10,374.94, 15,548.57 and 5,687.87

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Solution

The fourth proportional to 10,374.94, 15,548.57 and 5,687.87 is: 8,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.94 : 15,548.57 = 5,687.87 : x
  2. Step 2: Convert to fraction form
    10,374.94/15,548.57 = 5,687.87/x
  3. Step 3: Cross multiply
    10,374.94x = 15,548.57 × 5,687.87
  4. Step 4: Simplify right side
    10,374.94x = 88,438,216.41
  5. Step 5: Solve for x
    x = 88,438,216.41/10,374.94
  6. Step 6: Final answer
    x = 8,524.22

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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.