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Finding the Fourth Proportional to 8,151.36, 12,227.04 and 3,534

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Solution

The fourth proportional to 8,151.36, 12,227.04 and 3,534 is: 5,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.36 : 12,227.04 = 3,534 : x
  2. Step 2: Convert to fraction form
    8,151.36/12,227.04 = 3,534/x
  3. Step 3: Cross multiply
    8,151.36x = 12,227.04 × 3,534
  4. Step 4: Simplify right side
    8,151.36x = 43,210,359.36
  5. Step 5: Solve for x
    x = 43,210,359.36/8,151.36
  6. Step 6: Final answer
    x = 5,301

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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.