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Finding the Fourth Proportional to 7,294.47, 10,066.36 and 4,311.38

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Solution

The fourth proportional to 7,294.47, 10,066.36 and 4,311.38 is: 5,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.47 : 10,066.36 = 4,311.38 : x
  2. Step 2: Convert to fraction form
    7,294.47/10,066.36 = 4,311.38/x
  3. Step 3: Cross multiply
    7,294.47x = 10,066.36 × 4,311.38
  4. Step 4: Simplify right side
    7,294.47x = 43,399,903.18
  5. Step 5: Solve for x
    x = 43,399,903.18/7,294.47
  6. Step 6: Final answer
    x = 5,949.70

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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.