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Finding the Fourth Proportional to 8,407.48, 12,609.72 and 3,141.31

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Solution

The fourth proportional to 8,407.48, 12,609.72 and 3,141.31 is: 4,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.48 : 12,609.72 = 3,141.31 : x
  2. Step 2: Convert to fraction form
    8,407.48/12,609.72 = 3,141.31/x
  3. Step 3: Cross multiply
    8,407.48x = 12,609.72 × 3,141.31
  4. Step 4: Simplify right side
    8,407.48x = 39,611,039.53
  5. Step 5: Solve for x
    x = 39,611,039.53/8,407.48
  6. Step 6: Final answer
    x = 4,711.40

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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.