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Finding the Fourth Proportional to 7,788.70, 10,748.38 and 4,251.92

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Solution

The fourth proportional to 7,788.70, 10,748.38 and 4,251.92 is: 5,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.70 : 10,748.38 = 4,251.92 : x
  2. Step 2: Convert to fraction form
    7,788.70/10,748.38 = 4,251.92/x
  3. Step 3: Cross multiply
    7,788.70x = 10,748.38 × 4,251.92
  4. Step 4: Simplify right side
    7,788.70x = 45,701,251.89
  5. Step 5: Solve for x
    x = 45,701,251.89/7,788.70
  6. Step 6: Final answer
    x = 5,867.64

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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.