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Finding the Fourth Proportional to 8,974.84, 12,385.86 and 5,438.38

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Solution

The fourth proportional to 8,974.84, 12,385.86 and 5,438.38 is: 7,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.84 : 12,385.86 = 5,438.38 : x
  2. Step 2: Convert to fraction form
    8,974.84/12,385.86 = 5,438.38/x
  3. Step 3: Cross multiply
    8,974.84x = 12,385.86 × 5,438.38
  4. Step 4: Simplify right side
    8,974.84x = 67,359,013.31
  5. Step 5: Solve for x
    x = 67,359,013.31/8,974.84
  6. Step 6: Final answer
    x = 7,505.32

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Why These Related Problems?

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