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Finding the Fourth Proportional to 8,833.92, 12,195.72 and 5,298

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Solution

The fourth proportional to 8,833.92, 12,195.72 and 5,298 is: 7,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.92 : 12,195.72 = 5,298 : x
  2. Step 2: Convert to fraction form
    8,833.92/12,195.72 = 5,298/x
  3. Step 3: Cross multiply
    8,833.92x = 12,195.72 × 5,298
  4. Step 4: Simplify right side
    8,833.92x = 64,612,924.56
  5. Step 5: Solve for x
    x = 64,612,924.56/8,833.92
  6. Step 6: Final answer
    x = 7,314.18

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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.