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Finding the Fourth Proportional to 7,788.56, 10,748.06 and 4,251.79

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Solution

The fourth proportional to 7,788.56, 10,748.06 and 4,251.79 is: 5,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.56 : 10,748.06 = 4,251.79 : x
  2. Step 2: Convert to fraction form
    7,788.56/10,748.06 = 4,251.79/x
  3. Step 3: Cross multiply
    7,788.56x = 10,748.06 × 4,251.79
  4. Step 4: Simplify right side
    7,788.56x = 45,698,502.15
  5. Step 5: Solve for x
    x = 45,698,502.15/7,788.56
  6. Step 6: Final answer
    x = 5,867.39

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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.