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Finding the Fourth Proportional to 7,788.47, 10,748.03 and 4,251.68

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Solution

The fourth proportional to 7,788.47, 10,748.03 and 4,251.68 is: 5,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.47 : 10,748.03 = 4,251.68 : x
  2. Step 2: Convert to fraction form
    7,788.47/10,748.03 = 4,251.68/x
  3. Step 3: Cross multiply
    7,788.47x = 10,748.03 × 4,251.68
  4. Step 4: Simplify right side
    7,788.47x = 45,697,162.93
  5. Step 5: Solve for x
    x = 45,697,162.93/7,788.47
  6. Step 6: Final answer
    x = 5,867.28

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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.