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Finding the Fourth Proportional to 8,130.60, 12,186.22 and 3,911.20

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Solution

The fourth proportional to 8,130.60, 12,186.22 and 3,911.20 is: 5,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.60 : 12,186.22 = 3,911.20 : x
  2. Step 2: Convert to fraction form
    8,130.60/12,186.22 = 3,911.20/x
  3. Step 3: Cross multiply
    8,130.60x = 12,186.22 × 3,911.20
  4. Step 4: Simplify right side
    8,130.60x = 47,662,743.66
  5. Step 5: Solve for x
    x = 47,662,743.66/8,130.60
  6. Step 6: Final answer
    x = 5,862.14

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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.