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Finding the Fourth Proportional to 8,032.08, 11,984.82 and 7,155.12

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Solution

The fourth proportional to 8,032.08, 11,984.82 and 7,155.12 is: 10,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.08 : 11,984.82 = 7,155.12 : x
  2. Step 2: Convert to fraction form
    8,032.08/11,984.82 = 7,155.12/x
  3. Step 3: Cross multiply
    8,032.08x = 11,984.82 × 7,155.12
  4. Step 4: Simplify right side
    8,032.08x = 85,752,825.28
  5. Step 5: Solve for x
    x = 85,752,825.28/8,032.08
  6. Step 6: Final answer
    x = 10,676.29

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1.5x scale

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.