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Finding the Fourth Proportional to 10,965.74, 15,132.03 and 6,185.66

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Solution

The fourth proportional to 10,965.74, 15,132.03 and 6,185.66 is: 8,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.74 : 15,132.03 = 6,185.66 : x
  2. Step 2: Convert to fraction form
    10,965.74/15,132.03 = 6,185.66/x
  3. Step 3: Cross multiply
    10,965.74x = 15,132.03 × 6,185.66
  4. Step 4: Simplify right side
    10,965.74x = 93,601,592.69
  5. Step 5: Solve for x
    x = 93,601,592.69/10,965.74
  6. Step 6: Final answer
    x = 8,535.82

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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.