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Finding the Fourth Proportional to 11,758.92, 17,641.02 and 3,967.50

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Solution

The fourth proportional to 11,758.92, 17,641.02 and 3,967.50 is: 5,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.92 : 17,641.02 = 3,967.50 : x
  2. Step 2: Convert to fraction form
    11,758.92/17,641.02 = 3,967.50/x
  3. Step 3: Cross multiply
    11,758.92x = 17,641.02 × 3,967.50
  4. Step 4: Simplify right side
    11,758.92x = 69,990,746.85
  5. Step 5: Solve for x
    x = 69,990,746.85/11,758.92
  6. Step 6: Final answer
    x = 5,952.14

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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.