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Finding the Fourth Proportional to 8,589.68, 12,886.56 and 6,118.32

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Solution

The fourth proportional to 8,589.68, 12,886.56 and 6,118.32 is: 9,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.68 : 12,886.56 = 6,118.32 : x
  2. Step 2: Convert to fraction form
    8,589.68/12,886.56 = 6,118.32/x
  3. Step 3: Cross multiply
    8,589.68x = 12,886.56 × 6,118.32
  4. Step 4: Simplify right side
    8,589.68x = 78,844,097.78
  5. Step 5: Solve for x
    x = 78,844,097.78/8,589.68
  6. Step 6: Final answer
    x = 9,178.93

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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.