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Finding the Fourth Proportional to 8,470.88, 11,689.78 and 4,694.04

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Solution

The fourth proportional to 8,470.88, 11,689.78 and 4,694.04 is: 6,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.88 : 11,689.78 = 4,694.04 : x
  2. Step 2: Convert to fraction form
    8,470.88/11,689.78 = 4,694.04/x
  3. Step 3: Cross multiply
    8,470.88x = 11,689.78 × 4,694.04
  4. Step 4: Simplify right side
    8,470.88x = 54,872,294.91
  5. Step 5: Solve for x
    x = 54,872,294.91/8,470.88
  6. Step 6: Final answer
    x = 6,477.76

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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.