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Finding the Fourth Proportional to 8,317.49, 12,465.38 and 7,434.78

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Solution

The fourth proportional to 8,317.49, 12,465.38 and 7,434.78 is: 11,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.49 : 12,465.38 = 7,434.78 : x
  2. Step 2: Convert to fraction form
    8,317.49/12,465.38 = 7,434.78/x
  3. Step 3: Cross multiply
    8,317.49x = 12,465.38 × 7,434.78
  4. Step 4: Simplify right side
    8,317.49x = 92,677,320.74
  5. Step 5: Solve for x
    x = 92,677,320.74/8,317.49
  6. Step 6: Final answer
    x = 11,142.47

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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.