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Finding the Fourth Proportional to 10,243.62, 15,358.64 and 4,004.24

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Solution

The fourth proportional to 10,243.62, 15,358.64 and 4,004.24 is: 6,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.62 : 15,358.64 = 4,004.24 : x
  2. Step 2: Convert to fraction form
    10,243.62/15,358.64 = 4,004.24/x
  3. Step 3: Cross multiply
    10,243.62x = 15,358.64 × 4,004.24
  4. Step 4: Simplify right side
    10,243.62x = 61,499,680.63
  5. Step 5: Solve for x
    x = 61,499,680.63/10,243.62
  6. Step 6: Final answer
    x = 6,003.71

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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.