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Finding the Fourth Proportional to 7,462.79, 10,298.65 and 4,105.86

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Solution

The fourth proportional to 7,462.79, 10,298.65 and 4,105.86 is: 5,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.79 : 10,298.65 = 4,105.86 : x
  2. Step 2: Convert to fraction form
    7,462.79/10,298.65 = 4,105.86/x
  3. Step 3: Cross multiply
    7,462.79x = 10,298.65 × 4,105.86
  4. Step 4: Simplify right side
    7,462.79x = 42,284,815.09
  5. Step 5: Solve for x
    x = 42,284,815.09/7,462.79
  6. Step 6: Final answer
    x = 5,666.09

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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.