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Finding the Fourth Proportional to 8,294.12, 12,434.97 and 5,006.45

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Solution

The fourth proportional to 8,294.12, 12,434.97 and 5,006.45 is: 7,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.12 : 12,434.97 = 5,006.45 : x
  2. Step 2: Convert to fraction form
    8,294.12/12,434.97 = 5,006.45/x
  3. Step 3: Cross multiply
    8,294.12x = 12,434.97 × 5,006.45
  4. Step 4: Simplify right side
    8,294.12x = 62,254,993.38
  5. Step 5: Solve for x
    x = 62,254,993.38/8,294.12
  6. Step 6: Final answer
    x = 7,505.92

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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.