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Finding the Fourth Proportional to 7,294.56, 10,935.63 and 3,344.49

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Solution

The fourth proportional to 7,294.56, 10,935.63 and 3,344.49 is: 5,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.56 : 10,935.63 = 3,344.49 : x
  2. Step 2: Convert to fraction form
    7,294.56/10,935.63 = 3,344.49/x
  3. Step 3: Cross multiply
    7,294.56x = 10,935.63 × 3,344.49
  4. Step 4: Simplify right side
    7,294.56x = 36,574,105.18
  5. Step 5: Solve for x
    x = 36,574,105.18/7,294.56
  6. Step 6: Final answer
    x = 5,013.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.