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Finding the Fourth Proportional to 8,742.06, 12,063.92 and 4,965.20

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Solution

The fourth proportional to 8,742.06, 12,063.92 and 4,965.20 is: 6,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.06 : 12,063.92 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    8,742.06/12,063.92 = 4,965.20/x
  3. Step 3: Cross multiply
    8,742.06x = 12,063.92 × 4,965.20
  4. Step 4: Simplify right side
    8,742.06x = 59,899,775.58
  5. Step 5: Solve for x
    x = 59,899,775.58/8,742.06
  6. Step 6: Final answer
    x = 6,851.91

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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.