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Finding the Fourth Proportional to 6,893.10, 10,339.65 and 5,337.90

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Solution

The fourth proportional to 6,893.10, 10,339.65 and 5,337.90 is: 8,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.10 : 10,339.65 = 5,337.90 : x
  2. Step 2: Convert to fraction form
    6,893.10/10,339.65 = 5,337.90/x
  3. Step 3: Cross multiply
    6,893.10x = 10,339.65 × 5,337.90
  4. Step 4: Simplify right side
    6,893.10x = 55,192,017.74
  5. Step 5: Solve for x
    x = 55,192,017.74/6,893.10
  6. Step 6: Final answer
    x = 8,006.85

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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.