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Finding the Fourth Proportional to 7,748.76, 10,693.31 and 4,211.97

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Solution

The fourth proportional to 7,748.76, 10,693.31 and 4,211.97 is: 5,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.76 : 10,693.31 = 4,211.97 : x
  2. Step 2: Convert to fraction form
    7,748.76/10,693.31 = 4,211.97/x
  3. Step 3: Cross multiply
    7,748.76x = 10,693.31 × 4,211.97
  4. Step 4: Simplify right side
    7,748.76x = 45,039,900.92
  5. Step 5: Solve for x
    x = 45,039,900.92/7,748.76
  6. Step 6: Final answer
    x = 5,812.53

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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.