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Finding the Fourth Proportional to 7,462.67, 10,298.54 and 4,105.70

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Solution

The fourth proportional to 7,462.67, 10,298.54 and 4,105.70 is: 5,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.67 : 10,298.54 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    7,462.67/10,298.54 = 4,105.70/x
  3. Step 3: Cross multiply
    7,462.67x = 10,298.54 × 4,105.70
  4. Step 4: Simplify right side
    7,462.67x = 42,282,715.68
  5. Step 5: Solve for x
    x = 42,282,715.68/7,462.67
  6. Step 6: Final answer
    x = 5,665.90

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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.