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Finding the Fourth Proportional to 8,671.92, 11,960.68 and 5,842.32

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Solution

The fourth proportional to 8,671.92, 11,960.68 and 5,842.32 is: 8,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.92 : 11,960.68 = 5,842.32 : x
  2. Step 2: Convert to fraction form
    8,671.92/11,960.68 = 5,842.32/x
  3. Step 3: Cross multiply
    8,671.92x = 11,960.68 × 5,842.32
  4. Step 4: Simplify right side
    8,671.92x = 69,878,119.98
  5. Step 5: Solve for x
    x = 69,878,119.98/8,671.92
  6. Step 6: Final answer
    x = 8,057.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.