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Finding the Fourth Proportional to 7,168.35, 10,748.34 and 2,780.68

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Solution

The fourth proportional to 7,168.35, 10,748.34 and 2,780.68 is: 4,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.35 : 10,748.34 = 2,780.68 : x
  2. Step 2: Convert to fraction form
    7,168.35/10,748.34 = 2,780.68/x
  3. Step 3: Cross multiply
    7,168.35x = 10,748.34 × 2,780.68
  4. Step 4: Simplify right side
    7,168.35x = 29,887,694.07
  5. Step 5: Solve for x
    x = 29,887,694.07/7,168.35
  6. Step 6: Final answer
    x = 4,169.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.