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Finding the Fourth Proportional to 10,162.53, 15,246.14 and 5,482.44

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Solution

The fourth proportional to 10,162.53, 15,246.14 and 5,482.44 is: 8,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.53 : 15,246.14 = 5,482.44 : x
  2. Step 2: Convert to fraction form
    10,162.53/15,246.14 = 5,482.44/x
  3. Step 3: Cross multiply
    10,162.53x = 15,246.14 × 5,482.44
  4. Step 4: Simplify right side
    10,162.53x = 83,586,020.37
  5. Step 5: Solve for x
    x = 83,586,020.37/10,162.53
  6. Step 6: Final answer
    x = 8,224.92

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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.