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Finding the Fourth Proportional to 8,372.72, 12,549.34 and 3,746

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Solution

The fourth proportional to 8,372.72, 12,549.34 and 3,746 is: 5,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.72 : 12,549.34 = 3,746 : x
  2. Step 2: Convert to fraction form
    8,372.72/12,549.34 = 3,746/x
  3. Step 3: Cross multiply
    8,372.72x = 12,549.34 × 3,746
  4. Step 4: Simplify right side
    8,372.72x = 47,009,827.64
  5. Step 5: Solve for x
    x = 47,009,827.64/8,372.72
  6. Step 6: Final answer
    x = 5,614.64

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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.