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Finding the Fourth Proportional to 12,065.82, 16,652.48 and 6,761.76

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Solution

The fourth proportional to 12,065.82, 16,652.48 and 6,761.76 is: 9,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.82 : 16,652.48 = 6,761.76 : x
  2. Step 2: Convert to fraction form
    12,065.82/16,652.48 = 6,761.76/x
  3. Step 3: Cross multiply
    12,065.82x = 16,652.48 × 6,761.76
  4. Step 4: Simplify right side
    12,065.82x = 112,600,039.36
  5. Step 5: Solve for x
    x = 112,600,039.36/12,065.82
  6. Step 6: Final answer
    x = 9,332.15

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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.