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Finding the Fourth Proportional to 10,482.75, 15,724.13 and 2,691.56

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Solution

The fourth proportional to 10,482.75, 15,724.13 and 2,691.56 is: 4,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.75 : 15,724.13 = 2,691.56 : x
  2. Step 2: Convert to fraction form
    10,482.75/15,724.13 = 2,691.56/x
  3. Step 3: Cross multiply
    10,482.75x = 15,724.13 × 2,691.56
  4. Step 4: Simplify right side
    10,482.75x = 42,322,465.20
  5. Step 5: Solve for x
    x = 42,322,465.20/10,482.75
  6. Step 6: Final answer
    x = 4,037.34

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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.