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Finding the Fourth Proportional to 10,534.80, 15,803.10 and 3,138.78

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Solution

The fourth proportional to 10,534.80, 15,803.10 and 3,138.78 is: 4,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.80 : 15,803.10 = 3,138.78 : x
  2. Step 2: Convert to fraction form
    10,534.80/15,803.10 = 3,138.78/x
  3. Step 3: Cross multiply
    10,534.80x = 15,803.10 × 3,138.78
  4. Step 4: Simplify right side
    10,534.80x = 49,602,454.22
  5. Step 5: Solve for x
    x = 49,602,454.22/10,534.80
  6. Step 6: Final answer
    x = 4,708.44

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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.