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Finding the Fourth Proportional to 8,595.92, 11,864.52 and 5,282

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Solution

The fourth proportional to 8,595.92, 11,864.52 and 5,282 is: 7,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.92 : 11,864.52 = 5,282 : x
  2. Step 2: Convert to fraction form
    8,595.92/11,864.52 = 5,282/x
  3. Step 3: Cross multiply
    8,595.92x = 11,864.52 × 5,282
  4. Step 4: Simplify right side
    8,595.92x = 62,668,394.64
  5. Step 5: Solve for x
    x = 62,668,394.64/8,595.92
  6. Step 6: Final answer
    x = 7,290.48

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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.