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Finding the Fourth Proportional to 8,727.82, 12,044.30 and 4,748.88

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Solution

The fourth proportional to 8,727.82, 12,044.30 and 4,748.88 is: 6,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.82 : 12,044.30 = 4,748.88 : x
  2. Step 2: Convert to fraction form
    8,727.82/12,044.30 = 4,748.88/x
  3. Step 3: Cross multiply
    8,727.82x = 12,044.30 × 4,748.88
  4. Step 4: Simplify right side
    8,727.82x = 57,196,935.38
  5. Step 5: Solve for x
    x = 57,196,935.38/8,727.82
  6. Step 6: Final answer
    x = 6,553.40

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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.