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Finding the Fourth Proportional to 12,071.16, 16,657.92 and 6,765.90

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Solution

The fourth proportional to 12,071.16, 16,657.92 and 6,765.90 is: 9,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.16 : 16,657.92 = 6,765.90 : x
  2. Step 2: Convert to fraction form
    12,071.16/16,657.92 = 6,765.90/x
  3. Step 3: Cross multiply
    12,071.16x = 16,657.92 × 6,765.90
  4. Step 4: Simplify right side
    12,071.16x = 112,705,820.93
  5. Step 5: Solve for x
    x = 112,705,820.93/12,071.16
  6. Step 6: Final answer
    x = 9,336.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.