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Finding the Fourth Proportional to 12,071.49, 16,657.74 and 6,765.28

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Solution

The fourth proportional to 12,071.49, 16,657.74 and 6,765.28 is: 9,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.49 : 16,657.74 = 6,765.28 : x
  2. Step 2: Convert to fraction form
    12,071.49/16,657.74 = 6,765.28/x
  3. Step 3: Cross multiply
    12,071.49x = 16,657.74 × 6,765.28
  4. Step 4: Simplify right side
    12,071.49x = 112,694,275.27
  5. Step 5: Solve for x
    x = 112,694,275.27/12,071.49
  6. Step 6: Final answer
    x = 9,335.57

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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.