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Finding the Fourth Proportional to 10,402.52, 15,604.76 and 3,828.83

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Solution

The fourth proportional to 10,402.52, 15,604.76 and 3,828.83 is: 5,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.52 : 15,604.76 = 3,828.83 : x
  2. Step 2: Convert to fraction form
    10,402.52/15,604.76 = 3,828.83/x
  3. Step 3: Cross multiply
    10,402.52x = 15,604.76 × 3,828.83
  4. Step 4: Simplify right side
    10,402.52x = 59,747,904.78
  5. Step 5: Solve for x
    x = 59,747,904.78/10,402.52
  6. Step 6: Final answer
    x = 5,743.60

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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.