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Finding the Fourth Proportional to 7,406.81, 10,222.11 and 4,422.62

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Solution

The fourth proportional to 7,406.81, 10,222.11 and 4,422.62 is: 6,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.81 : 10,222.11 = 4,422.62 : x
  2. Step 2: Convert to fraction form
    7,406.81/10,222.11 = 4,422.62/x
  3. Step 3: Cross multiply
    7,406.81x = 10,222.11 × 4,422.62
  4. Step 4: Simplify right side
    7,406.81x = 45,208,508.13
  5. Step 5: Solve for x
    x = 45,208,508.13/7,406.81
  6. Step 6: Final answer
    x = 6,103.64

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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.