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Finding the Fourth Proportional to 12,594, 17,380.50 and 7,290.52

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Solution

The fourth proportional to 12,594, 17,380.50 and 7,290.52 is: 10,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594 : 17,380.50 = 7,290.52 : x
  2. Step 2: Convert to fraction form
    12,594/17,380.50 = 7,290.52/x
  3. Step 3: Cross multiply
    12,594x = 17,380.50 × 7,290.52
  4. Step 4: Simplify right side
    12,594x = 126,712,882.86
  5. Step 5: Solve for x
    x = 126,712,882.86/12,594
  6. Step 6: Final answer
    x = 10,061.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.