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Finding the Fourth Proportional to 8,827.64, 12,182.34 and 4,849

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Solution

The fourth proportional to 8,827.64, 12,182.34 and 4,849 is: 6,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.64 : 12,182.34 = 4,849 : x
  2. Step 2: Convert to fraction form
    8,827.64/12,182.34 = 4,849/x
  3. Step 3: Cross multiply
    8,827.64x = 12,182.34 × 4,849
  4. Step 4: Simplify right side
    8,827.64x = 59,072,166.66
  5. Step 5: Solve for x
    x = 59,072,166.66/8,827.64
  6. Step 6: Final answer
    x = 6,691.73

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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.