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Finding the Fourth Proportional to 8,742.80, 12,064.02 and 4,964.60

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Solution

The fourth proportional to 8,742.80, 12,064.02 and 4,964.60 is: 6,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.80 : 12,064.02 = 4,964.60 : x
  2. Step 2: Convert to fraction form
    8,742.80/12,064.02 = 4,964.60/x
  3. Step 3: Cross multiply
    8,742.80x = 12,064.02 × 4,964.60
  4. Step 4: Simplify right side
    8,742.80x = 59,893,033.69
  5. Step 5: Solve for x
    x = 59,893,033.69/8,742.80
  6. Step 6: Final answer
    x = 6,850.56

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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.