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Finding the Fourth Proportional to 8,143.36, 12,215.04 and 3,526

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Solution

The fourth proportional to 8,143.36, 12,215.04 and 3,526 is: 5,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.36 : 12,215.04 = 3,526 : x
  2. Step 2: Convert to fraction form
    8,143.36/12,215.04 = 3,526/x
  3. Step 3: Cross multiply
    8,143.36x = 12,215.04 × 3,526
  4. Step 4: Simplify right side
    8,143.36x = 43,070,231.04
  5. Step 5: Solve for x
    x = 43,070,231.04/8,143.36
  6. Step 6: Final answer
    x = 5,289.00

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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.