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Finding the Fourth Proportional to 7,930.32, 10,943.10 and 4,742.97

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Solution

The fourth proportional to 7,930.32, 10,943.10 and 4,742.97 is: 6,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.32 : 10,943.10 = 4,742.97 : x
  2. Step 2: Convert to fraction form
    7,930.32/10,943.10 = 4,742.97/x
  3. Step 3: Cross multiply
    7,930.32x = 10,943.10 × 4,742.97
  4. Step 4: Simplify right side
    7,930.32x = 51,902,795.01
  5. Step 5: Solve for x
    x = 51,902,795.01/7,930.32
  6. Step 6: Final answer
    x = 6,544.86

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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.