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Finding the Fourth Proportional to 11,580.32, 17,367.82 and 6,901.66

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Solution

The fourth proportional to 11,580.32, 17,367.82 and 6,901.66 is: 10,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.32 : 17,367.82 = 6,901.66 : x
  2. Step 2: Convert to fraction form
    11,580.32/17,367.82 = 6,901.66/x
  3. Step 3: Cross multiply
    11,580.32x = 17,367.82 × 6,901.66
  4. Step 4: Simplify right side
    11,580.32x = 119,866,695.34
  5. Step 5: Solve for x
    x = 119,866,695.34/11,580.32
  6. Step 6: Final answer
    x = 10,350.90

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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.