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Finding the Fourth Proportional to 8,053.68, 12,094.92 and 5,286

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Solution

The fourth proportional to 8,053.68, 12,094.92 and 5,286 is: 7,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.68 : 12,094.92 = 5,286 : x
  2. Step 2: Convert to fraction form
    8,053.68/12,094.92 = 5,286/x
  3. Step 3: Cross multiply
    8,053.68x = 12,094.92 × 5,286
  4. Step 4: Simplify right side
    8,053.68x = 63,933,747.12
  5. Step 5: Solve for x
    x = 63,933,747.12/8,053.68
  6. Step 6: Final answer
    x = 7,938.45

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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.