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Finding the Fourth Proportional to 8,686.68, 13,015.62 and 7,814.04

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Solution

The fourth proportional to 8,686.68, 13,015.62 and 7,814.04 is: 11,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.68 : 13,015.62 = 7,814.04 : x
  2. Step 2: Convert to fraction form
    8,686.68/13,015.62 = 7,814.04/x
  3. Step 3: Cross multiply
    8,686.68x = 13,015.62 × 7,814.04
  4. Step 4: Simplify right side
    8,686.68x = 101,704,575.30
  5. Step 5: Solve for x
    x = 101,704,575.30/8,686.68
  6. Step 6: Final answer
    x = 11,708.11

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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.