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Finding the Fourth Proportional to 11,580.17, 17,393.54 and 6,909.30

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Solution

The fourth proportional to 11,580.17, 17,393.54 and 6,909.30 is: 10,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.17 : 17,393.54 = 6,909.30 : x
  2. Step 2: Convert to fraction form
    11,580.17/17,393.54 = 6,909.30/x
  3. Step 3: Cross multiply
    11,580.17x = 17,393.54 × 6,909.30
  4. Step 4: Simplify right side
    11,580.17x = 120,177,151.38
  5. Step 5: Solve for x
    x = 120,177,151.38/11,580.17
  6. Step 6: Final answer
    x = 10,377.84

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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.