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Finding the Fourth Proportional to 8,470.80, 11,689.08 and 4,693.44

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Solution

The fourth proportional to 8,470.80, 11,689.08 and 4,693.44 is: 6,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.80 : 11,689.08 = 4,693.44 : x
  2. Step 2: Convert to fraction form
    8,470.80/11,689.08 = 4,693.44/x
  3. Step 3: Cross multiply
    8,470.80x = 11,689.08 × 4,693.44
  4. Step 4: Simplify right side
    8,470.80x = 54,861,995.64
  5. Step 5: Solve for x
    x = 54,861,995.64/8,470.80
  6. Step 6: Final answer
    x = 6,476.60

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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.