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Finding the Fourth Proportional to 7,926, 11,888.76 and 3,244.68

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Solution

The fourth proportional to 7,926, 11,888.76 and 3,244.68 is: 4,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 11,888.76 = 3,244.68 : x
  2. Step 2: Convert to fraction form
    7,926/11,888.76 = 3,244.68/x
  3. Step 3: Cross multiply
    7,926x = 11,888.76 × 3,244.68
  4. Step 4: Simplify right side
    7,926x = 38,575,221.80
  5. Step 5: Solve for x
    x = 38,575,221.80/7,926
  6. Step 6: Final answer
    x = 4,866.92

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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.