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Finding the Fourth Proportional to 8,354.77, 11,529.57 and 4,578.17

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Solution

The fourth proportional to 8,354.77, 11,529.57 and 4,578.17 is: 6,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.77 : 11,529.57 = 4,578.17 : x
  2. Step 2: Convert to fraction form
    8,354.77/11,529.57 = 4,578.17/x
  3. Step 3: Cross multiply
    8,354.77x = 11,529.57 × 4,578.17
  4. Step 4: Simplify right side
    8,354.77x = 52,784,377.48
  5. Step 5: Solve for x
    x = 52,784,377.48/8,354.77
  6. Step 6: Final answer
    x = 6,317.87

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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.