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Finding the Fourth Proportional to 8,747.30, 12,071.52 and 4,768.66

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Solution

The fourth proportional to 8,747.30, 12,071.52 and 4,768.66 is: 6,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.30 : 12,071.52 = 4,768.66 : x
  2. Step 2: Convert to fraction form
    8,747.30/12,071.52 = 4,768.66/x
  3. Step 3: Cross multiply
    8,747.30x = 12,071.52 × 4,768.66
  4. Step 4: Simplify right side
    8,747.30x = 57,564,944.38
  5. Step 5: Solve for x
    x = 57,564,944.38/8,747.30
  6. Step 6: Final answer
    x = 6,580.88

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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.