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Finding the Fourth Proportional to 10,218.16, 15,338.04 and 5,027.68

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Solution

The fourth proportional to 10,218.16, 15,338.04 and 5,027.68 is: 7,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.16 : 15,338.04 = 5,027.68 : x
  2. Step 2: Convert to fraction form
    10,218.16/15,338.04 = 5,027.68/x
  3. Step 3: Cross multiply
    10,218.16x = 15,338.04 × 5,027.68
  4. Step 4: Simplify right side
    10,218.16x = 77,114,756.95
  5. Step 5: Solve for x
    x = 77,114,756.95/10,218.16
  6. Step 6: Final answer
    x = 7,546.83

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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.