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Finding the Fourth Proportional to 8,091.32, 12,124 and 6,795.32

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Solution

The fourth proportional to 8,091.32, 12,124 and 6,795.32 is: 10,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.32 : 12,124 = 6,795.32 : x
  2. Step 2: Convert to fraction form
    8,091.32/12,124 = 6,795.32/x
  3. Step 3: Cross multiply
    8,091.32x = 12,124 × 6,795.32
  4. Step 4: Simplify right side
    8,091.32x = 82,386,459.68
  5. Step 5: Solve for x
    x = 82,386,459.68/8,091.32
  6. Step 6: Final answer
    x = 10,182.08

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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.