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Finding the Fourth Proportional to 11,036.75, 16,544.19 and 5,182.88

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Solution

The fourth proportional to 11,036.75, 16,544.19 and 5,182.88 is: 7,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.75 : 16,544.19 = 5,182.88 : x
  2. Step 2: Convert to fraction form
    11,036.75/16,544.19 = 5,182.88/x
  3. Step 3: Cross multiply
    11,036.75x = 16,544.19 × 5,182.88
  4. Step 4: Simplify right side
    11,036.75x = 85,746,551.47
  5. Step 5: Solve for x
    x = 85,746,551.47/11,036.75
  6. Step 6: Final answer
    x = 7,769.18

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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.