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Finding the Fourth Proportional to 7,462.98, 10,298.70 and 4,105.79

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Solution

The fourth proportional to 7,462.98, 10,298.70 and 4,105.79 is: 5,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.98 : 10,298.70 = 4,105.79 : x
  2. Step 2: Convert to fraction form
    7,462.98/10,298.70 = 4,105.79/x
  3. Step 3: Cross multiply
    7,462.98x = 10,298.70 × 4,105.79
  4. Step 4: Simplify right side
    7,462.98x = 42,284,299.47
  5. Step 5: Solve for x
    x = 42,284,299.47/7,462.98
  6. Step 6: Final answer
    x = 5,665.87

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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.