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Finding the Fourth Proportional to 10,278.50, 15,425.03 and 3,704.74

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Solution

The fourth proportional to 10,278.50, 15,425.03 and 3,704.74 is: 5,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.50 : 15,425.03 = 3,704.74 : x
  2. Step 2: Convert to fraction form
    10,278.50/15,425.03 = 3,704.74/x
  3. Step 3: Cross multiply
    10,278.50x = 15,425.03 × 3,704.74
  4. Step 4: Simplify right side
    10,278.50x = 57,145,696.34
  5. Step 5: Solve for x
    x = 57,145,696.34/10,278.50
  6. Step 6: Final answer
    x = 5,559.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.