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Finding the Fourth Proportional to 8,470.38, 11,689.74 and 5,114.01

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Solution

The fourth proportional to 8,470.38, 11,689.74 and 5,114.01 is: 7,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.38 : 11,689.74 = 5,114.01 : x
  2. Step 2: Convert to fraction form
    8,470.38/11,689.74 = 5,114.01/x
  3. Step 3: Cross multiply
    8,470.38x = 11,689.74 × 5,114.01
  4. Step 4: Simplify right side
    8,470.38x = 59,781,447.26
  5. Step 5: Solve for x
    x = 59,781,447.26/8,470.38
  6. Step 6: Final answer
    x = 7,057.71

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Why These Related Problems?

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