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Finding the Fourth Proportional to 8,348.40, 11,515.66 and 6,553.17

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Solution

The fourth proportional to 8,348.40, 11,515.66 and 6,553.17 is: 9,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.40 : 11,515.66 = 6,553.17 : x
  2. Step 2: Convert to fraction form
    8,348.40/11,515.66 = 6,553.17/x
  3. Step 3: Cross multiply
    8,348.40x = 11,515.66 × 6,553.17
  4. Step 4: Simplify right side
    8,348.40x = 75,464,061.26
  5. Step 5: Solve for x
    x = 75,464,061.26/8,348.40
  6. Step 6: Final answer
    x = 9,039.34

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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.