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Finding the Fourth Proportional to 11,001.62, 15,182.07 and 5,965.74

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Solution

The fourth proportional to 11,001.62, 15,182.07 and 5,965.74 is: 8,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001.62 : 15,182.07 = 5,965.74 : x
  2. Step 2: Convert to fraction form
    11,001.62/15,182.07 = 5,965.74/x
  3. Step 3: Cross multiply
    11,001.62x = 15,182.07 × 5,965.74
  4. Step 4: Simplify right side
    11,001.62x = 90,572,282.28
  5. Step 5: Solve for x
    x = 90,572,282.28/11,001.62
  6. Step 6: Final answer
    x = 8,232.64

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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.