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Finding the Fourth Proportional to 11,353.17, 17,007.61 and 6,407.85

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Solution

The fourth proportional to 11,353.17, 17,007.61 and 6,407.85 is: 9,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.17 : 17,007.61 = 6,407.85 : x
  2. Step 2: Convert to fraction form
    11,353.17/17,007.61 = 6,407.85/x
  3. Step 3: Cross multiply
    11,353.17x = 17,007.61 × 6,407.85
  4. Step 4: Simplify right side
    11,353.17x = 108,982,213.74
  5. Step 5: Solve for x
    x = 108,982,213.74/11,353.17
  6. Step 6: Final answer
    x = 9,599.28

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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.