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Finding the Fourth Proportional to 8,686.35, 12,966.62 and 7,635.42

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Solution

The fourth proportional to 8,686.35, 12,966.62 and 7,635.42 is: 11,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.35 : 12,966.62 = 7,635.42 : x
  2. Step 2: Convert to fraction form
    8,686.35/12,966.62 = 7,635.42/x
  3. Step 3: Cross multiply
    8,686.35x = 12,966.62 × 7,635.42
  4. Step 4: Simplify right side
    8,686.35x = 99,005,589.68
  5. Step 5: Solve for x
    x = 99,005,589.68/8,686.35
  6. Step 6: Final answer
    x = 11,397.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.