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Finding the Fourth Proportional to 7,749.32, 10,696.46 and 4,954.82

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Solution

The fourth proportional to 7,749.32, 10,696.46 and 4,954.82 is: 6,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.32 : 10,696.46 = 4,954.82 : x
  2. Step 2: Convert to fraction form
    7,749.32/10,696.46 = 4,954.82/x
  3. Step 3: Cross multiply
    7,749.32x = 10,696.46 × 4,954.82
  4. Step 4: Simplify right side
    7,749.32x = 52,998,955.68
  5. Step 5: Solve for x
    x = 52,998,955.68/7,749.32
  6. Step 6: Final answer
    x = 6,839.18

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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.