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Finding the Fourth Proportional to 7,438.11, 10,264.59 and 4,081.20

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Solution

The fourth proportional to 7,438.11, 10,264.59 and 4,081.20 is: 5,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.11 : 10,264.59 = 4,081.20 : x
  2. Step 2: Convert to fraction form
    7,438.11/10,264.59 = 4,081.20/x
  3. Step 3: Cross multiply
    7,438.11x = 10,264.59 × 4,081.20
  4. Step 4: Simplify right side
    7,438.11x = 41,891,844.71
  5. Step 5: Solve for x
    x = 41,891,844.71/7,438.11
  6. Step 6: Final answer
    x = 5,632.06

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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.