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Finding the Fourth Proportional to 7,331, 10,112.64 and 4,343.90

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Solution

The fourth proportional to 7,331, 10,112.64 and 4,343.90 is: 5,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331 : 10,112.64 = 4,343.90 : x
  2. Step 2: Convert to fraction form
    7,331/10,112.64 = 4,343.90/x
  3. Step 3: Cross multiply
    7,331x = 10,112.64 × 4,343.90
  4. Step 4: Simplify right side
    7,331x = 43,928,296.90
  5. Step 5: Solve for x
    x = 43,928,296.90/7,331
  6. Step 6: Final answer
    x = 5,992.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.