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Finding the Fourth Proportional to 8,083.68, 12,059.16 and 7,209.12

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Solution

The fourth proportional to 8,083.68, 12,059.16 and 7,209.12 is: 10,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.68 : 12,059.16 = 7,209.12 : x
  2. Step 2: Convert to fraction form
    8,083.68/12,059.16 = 7,209.12/x
  3. Step 3: Cross multiply
    8,083.68x = 12,059.16 × 7,209.12
  4. Step 4: Simplify right side
    8,083.68x = 86,935,931.54
  5. Step 5: Solve for x
    x = 86,935,931.54/8,083.68
  6. Step 6: Final answer
    x = 10,754.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.