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Finding the Fourth Proportional to 7,788.34, 10,748.06 and 4,251.68

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Solution

The fourth proportional to 7,788.34, 10,748.06 and 4,251.68 is: 5,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.34 : 10,748.06 = 4,251.68 : x
  2. Step 2: Convert to fraction form
    7,788.34/10,748.06 = 4,251.68/x
  3. Step 3: Cross multiply
    7,788.34x = 10,748.06 × 4,251.68
  4. Step 4: Simplify right side
    7,788.34x = 45,697,311.74
  5. Step 5: Solve for x
    x = 45,697,311.74/7,788.34
  6. Step 6: Final answer
    x = 5,867.40

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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.