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Finding the Fourth Proportional to 7,874.16, 10,866.18 and 4,337.43

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Solution

The fourth proportional to 7,874.16, 10,866.18 and 4,337.43 is: 5,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.16 : 10,866.18 = 4,337.43 : x
  2. Step 2: Convert to fraction form
    7,874.16/10,866.18 = 4,337.43/x
  3. Step 3: Cross multiply
    7,874.16x = 10,866.18 × 4,337.43
  4. Step 4: Simplify right side
    7,874.16x = 47,131,295.12
  5. Step 5: Solve for x
    x = 47,131,295.12/7,874.16
  6. Step 6: Final answer
    x = 5,985.56

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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.