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Finding the Fourth Proportional to 11,411.30, 17,103.17 and 6,470.71

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Solution

The fourth proportional to 11,411.30, 17,103.17 and 6,470.71 is: 9,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.30 : 17,103.17 = 6,470.71 : x
  2. Step 2: Convert to fraction form
    11,411.30/17,103.17 = 6,470.71/x
  3. Step 3: Cross multiply
    11,411.30x = 17,103.17 × 6,470.71
  4. Step 4: Simplify right side
    11,411.30x = 110,669,626.57
  5. Step 5: Solve for x
    x = 110,669,626.57/11,411.30
  6. Step 6: Final answer
    x = 9,698.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.