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Finding the Fourth Proportional to 8,130.40, 12,176.40 and 5,519.20

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Solution

The fourth proportional to 8,130.40, 12,176.40 and 5,519.20 is: 8,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.40 : 12,176.40 = 5,519.20 : x
  2. Step 2: Convert to fraction form
    8,130.40/12,176.40 = 5,519.20/x
  3. Step 3: Cross multiply
    8,130.40x = 12,176.40 × 5,519.20
  4. Step 4: Simplify right side
    8,130.40x = 67,203,986.88
  5. Step 5: Solve for x
    x = 67,203,986.88/8,130.40
  6. Step 6: Final answer
    x = 8,265.77

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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.