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Finding the Fourth Proportional to 8,470.80, 11,685.66 and 5,639.48

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Solution

The fourth proportional to 8,470.80, 11,685.66 and 5,639.48 is: 7,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.80 : 11,685.66 = 5,639.48 : x
  2. Step 2: Convert to fraction form
    8,470.80/11,685.66 = 5,639.48/x
  3. Step 3: Cross multiply
    8,470.80x = 11,685.66 × 5,639.48
  4. Step 4: Simplify right side
    8,470.80x = 65,901,045.86
  5. Step 5: Solve for x
    x = 65,901,045.86/8,470.80
  6. Step 6: Final answer
    x = 7,779.79

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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.