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Finding the Fourth Proportional to 8,597.83, 12,882.16 and 7,781.35

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Solution

The fourth proportional to 8,597.83, 12,882.16 and 7,781.35 is: 11,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.83 : 12,882.16 = 7,781.35 : x
  2. Step 2: Convert to fraction form
    8,597.83/12,882.16 = 7,781.35/x
  3. Step 3: Cross multiply
    8,597.83x = 12,882.16 × 7,781.35
  4. Step 4: Simplify right side
    8,597.83x = 100,240,595.72
  5. Step 5: Solve for x
    x = 100,240,595.72/8,597.83
  6. Step 6: Final answer
    x = 11,658.83

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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.