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Finding the Fourth Proportional to 8,742.82, 12,064.18 and 5,205.36

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Solution

The fourth proportional to 8,742.82, 12,064.18 and 5,205.36 is: 7,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.82 : 12,064.18 = 5,205.36 : x
  2. Step 2: Convert to fraction form
    8,742.82/12,064.18 = 5,205.36/x
  3. Step 3: Cross multiply
    8,742.82x = 12,064.18 × 5,205.36
  4. Step 4: Simplify right side
    8,742.82x = 62,798,400.00
  5. Step 5: Solve for x
    x = 62,798,400.00/8,742.82
  6. Step 6: Final answer
    x = 7,182.85

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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.