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Finding the Fourth Proportional to 6,702.12, 10,016.82 and 6,176.88

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Solution

The fourth proportional to 6,702.12, 10,016.82 and 6,176.88 is: 9,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.12 : 10,016.82 = 6,176.88 : x
  2. Step 2: Convert to fraction form
    6,702.12/10,016.82 = 6,176.88/x
  3. Step 3: Cross multiply
    6,702.12x = 10,016.82 × 6,176.88
  4. Step 4: Simplify right side
    6,702.12x = 61,872,695.12
  5. Step 5: Solve for x
    x = 61,872,695.12/6,702.12
  6. Step 6: Final answer
    x = 9,231.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.