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Finding the Fourth Proportional to 8,290.32, 11,439.72 and 5,641.08

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Solution

The fourth proportional to 8,290.32, 11,439.72 and 5,641.08 is: 7,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.32 : 11,439.72 = 5,641.08 : x
  2. Step 2: Convert to fraction form
    8,290.32/11,439.72 = 5,641.08/x
  3. Step 3: Cross multiply
    8,290.32x = 11,439.72 × 5,641.08
  4. Step 4: Simplify right side
    8,290.32x = 64,532,375.70
  5. Step 5: Solve for x
    x = 64,532,375.70/8,290.32
  6. Step 6: Final answer
    x = 7,784.06

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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.