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Finding the Fourth Proportional to 8,125.92, 11,207.84 and 5,288

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Solution

The fourth proportional to 8,125.92, 11,207.84 and 5,288 is: 7,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.92 : 11,207.84 = 5,288 : x
  2. Step 2: Convert to fraction form
    8,125.92/11,207.84 = 5,288/x
  3. Step 3: Cross multiply
    8,125.92x = 11,207.84 × 5,288
  4. Step 4: Simplify right side
    8,125.92x = 59,267,057.92
  5. Step 5: Solve for x
    x = 59,267,057.92/8,125.92
  6. Step 6: Final answer
    x = 7,293.58

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