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Finding the Fourth Proportional to 8,507.80, 12,765.30 and 5,390.20

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Solution

The fourth proportional to 8,507.80, 12,765.30 and 5,390.20 is: 8,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.80 : 12,765.30 = 5,390.20 : x
  2. Step 2: Convert to fraction form
    8,507.80/12,765.30 = 5,390.20/x
  3. Step 3: Cross multiply
    8,507.80x = 12,765.30 × 5,390.20
  4. Step 4: Simplify right side
    8,507.80x = 68,807,520.06
  5. Step 5: Solve for x
    x = 68,807,520.06/8,507.80
  6. Step 6: Final answer
    x = 8,087.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.