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Finding the Fourth Proportional to 10,319.64, 15,470.02 and 3,744.36

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Solution

The fourth proportional to 10,319.64, 15,470.02 and 3,744.36 is: 5,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.64 : 15,470.02 = 3,744.36 : x
  2. Step 2: Convert to fraction form
    10,319.64/15,470.02 = 3,744.36/x
  3. Step 3: Cross multiply
    10,319.64x = 15,470.02 × 3,744.36
  4. Step 4: Simplify right side
    10,319.64x = 57,925,324.09
  5. Step 5: Solve for x
    x = 57,925,324.09/10,319.64
  6. Step 6: Final answer
    x = 5,613.11

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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.