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Finding the Fourth Proportional to 7,788.42, 10,748.02 and 4,251.84

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Solution

The fourth proportional to 7,788.42, 10,748.02 and 4,251.84 is: 5,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.42 : 10,748.02 = 4,251.84 : x
  2. Step 2: Convert to fraction form
    7,788.42/10,748.02 = 4,251.84/x
  3. Step 3: Cross multiply
    7,788.42x = 10,748.02 × 4,251.84
  4. Step 4: Simplify right side
    7,788.42x = 45,698,861.36
  5. Step 5: Solve for x
    x = 45,698,861.36/7,788.42
  6. Step 6: Final answer
    x = 5,867.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.