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Finding the Fourth Proportional to 8,032.64, 12,047.02 and 3,099.14

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Solution

The fourth proportional to 8,032.64, 12,047.02 and 3,099.14 is: 4,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.64 : 12,047.02 = 3,099.14 : x
  2. Step 2: Convert to fraction form
    8,032.64/12,047.02 = 3,099.14/x
  3. Step 3: Cross multiply
    8,032.64x = 12,047.02 × 3,099.14
  4. Step 4: Simplify right side
    8,032.64x = 37,335,351.01
  5. Step 5: Solve for x
    x = 37,335,351.01/8,032.64
  6. Step 6: Final answer
    x = 4,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.