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Finding the Fourth Proportional to 10,452.71, 15,674.72 and 3,875.31

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Solution

The fourth proportional to 10,452.71, 15,674.72 and 3,875.31 is: 5,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.71 : 15,674.72 = 3,875.31 : x
  2. Step 2: Convert to fraction form
    10,452.71/15,674.72 = 3,875.31/x
  3. Step 3: Cross multiply
    10,452.71x = 15,674.72 × 3,875.31
  4. Step 4: Simplify right side
    10,452.71x = 60,744,379.79
  5. Step 5: Solve for x
    x = 60,744,379.79/10,452.71
  6. Step 6: Final answer
    x = 5,811.35

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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.