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Finding the Fourth Proportional to 6,781.58, 10,156.57 and 6,594.72

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Solution

The fourth proportional to 6,781.58, 10,156.57 and 6,594.72 is: 9,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.58 : 10,156.57 = 6,594.72 : x
  2. Step 2: Convert to fraction form
    6,781.58/10,156.57 = 6,594.72/x
  3. Step 3: Cross multiply
    6,781.58x = 10,156.57 × 6,594.72
  4. Step 4: Simplify right side
    6,781.58x = 66,979,756.91
  5. Step 5: Solve for x
    x = 66,979,756.91/6,781.58
  6. Step 6: Final answer
    x = 9,876.73

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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.