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Finding the Fourth Proportional to 10,074, 13,902.48 and 5,882.16

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Solution

The fourth proportional to 10,074, 13,902.48 and 5,882.16 is: 8,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 13,902.48 = 5,882.16 : x
  2. Step 2: Convert to fraction form
    10,074/13,902.48 = 5,882.16/x
  3. Step 3: Cross multiply
    10,074x = 13,902.48 × 5,882.16
  4. Step 4: Simplify right side
    10,074x = 81,776,611.76
  5. Step 5: Solve for x
    x = 81,776,611.76/10,074
  6. Step 6: Final answer
    x = 8,117.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.