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Finding the Fourth Proportional to 8,007.40, 11,043.30 and 6,434.92

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Solution

The fourth proportional to 8,007.40, 11,043.30 and 6,434.92 is: 8,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.40 : 11,043.30 = 6,434.92 : x
  2. Step 2: Convert to fraction form
    8,007.40/11,043.30 = 6,434.92/x
  3. Step 3: Cross multiply
    8,007.40x = 11,043.30 × 6,434.92
  4. Step 4: Simplify right side
    8,007.40x = 71,062,752.04
  5. Step 5: Solve for x
    x = 71,062,752.04/8,007.40
  6. Step 6: Final answer
    x = 8,874.63

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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.