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Finding the Fourth Proportional to 8,377.32, 12,565.98 and 6,797.82

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Solution

The fourth proportional to 8,377.32, 12,565.98 and 6,797.82 is: 10,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.32 : 12,565.98 = 6,797.82 : x
  2. Step 2: Convert to fraction form
    8,377.32/12,565.98 = 6,797.82/x
  3. Step 3: Cross multiply
    8,377.32x = 12,565.98 × 6,797.82
  4. Step 4: Simplify right side
    8,377.32x = 85,421,270.16
  5. Step 5: Solve for x
    x = 85,421,270.16/8,377.32
  6. Step 6: Final answer
    x = 10,196.73

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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.