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Finding the Fourth Proportional to 10,785.12, 14,882.32 and 6,069.32

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Solution

The fourth proportional to 10,785.12, 14,882.32 and 6,069.32 is: 8,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.12 : 14,882.32 = 6,069.32 : x
  2. Step 2: Convert to fraction form
    10,785.12/14,882.32 = 6,069.32/x
  3. Step 3: Cross multiply
    10,785.12x = 14,882.32 × 6,069.32
  4. Step 4: Simplify right side
    10,785.12x = 90,325,562.42
  5. Step 5: Solve for x
    x = 90,325,562.42/10,785.12
  6. Step 6: Final answer
    x = 8,375.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.