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Finding the Fourth Proportional to 7,641.40, 11,467.19 and 3,142.15

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Solution

The fourth proportional to 7,641.40, 11,467.19 and 3,142.15 is: 4,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.40 : 11,467.19 = 3,142.15 : x
  2. Step 2: Convert to fraction form
    7,641.40/11,467.19 = 3,142.15/x
  3. Step 3: Cross multiply
    7,641.40x = 11,467.19 × 3,142.15
  4. Step 4: Simplify right side
    7,641.40x = 36,031,586.68
  5. Step 5: Solve for x
    x = 36,031,586.68/7,641.40
  6. Step 6: Final answer
    x = 4,715.31

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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.