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Finding the Fourth Proportional to 8,421.20, 12,610.20 and 8,032.40

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Solution

The fourth proportional to 8,421.20, 12,610.20 and 8,032.40 is: 12,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.20 : 12,610.20 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    8,421.20/12,610.20 = 8,032.40/x
  3. Step 3: Cross multiply
    8,421.20x = 12,610.20 × 8,032.40
  4. Step 4: Simplify right side
    8,421.20x = 101,290,170.48
  5. Step 5: Solve for x
    x = 101,290,170.48/8,421.20
  6. Step 6: Final answer
    x = 12,028.00

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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.