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Finding the Fourth Proportional to 7,438.34, 10,265.01 and 4,081.10

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Solution

The fourth proportional to 7,438.34, 10,265.01 and 4,081.10 is: 5,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.34 : 10,265.01 = 4,081.10 : x
  2. Step 2: Convert to fraction form
    7,438.34/10,265.01 = 4,081.10/x
  3. Step 3: Cross multiply
    7,438.34x = 10,265.01 × 4,081.10
  4. Step 4: Simplify right side
    7,438.34x = 41,892,496.29
  5. Step 5: Solve for x
    x = 41,892,496.29/7,438.34
  6. Step 6: Final answer
    x = 5,631.97

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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.