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Finding the Fourth Proportional to 7,462.78, 10,298.81 and 4,105.78

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Solution

The fourth proportional to 7,462.78, 10,298.81 and 4,105.78 is: 5,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.78 : 10,298.81 = 4,105.78 : x
  2. Step 2: Convert to fraction form
    7,462.78/10,298.81 = 4,105.78/x
  3. Step 3: Cross multiply
    7,462.78x = 10,298.81 × 4,105.78
  4. Step 4: Simplify right side
    7,462.78x = 42,284,648.12
  5. Step 5: Solve for x
    x = 42,284,648.12/7,462.78
  6. Step 6: Final answer
    x = 5,666.07

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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.