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Finding the Fourth Proportional to 10,022.74, 15,034.04 and 4,098.38

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Solution

The fourth proportional to 10,022.74, 15,034.04 and 4,098.38 is: 6,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.74 : 15,034.04 = 4,098.38 : x
  2. Step 2: Convert to fraction form
    10,022.74/15,034.04 = 4,098.38/x
  3. Step 3: Cross multiply
    10,022.74x = 15,034.04 × 4,098.38
  4. Step 4: Simplify right side
    10,022.74x = 61,615,208.86
  5. Step 5: Solve for x
    x = 61,615,208.86/10,022.74
  6. Step 6: Final answer
    x = 6,147.54

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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.