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Finding the Fourth Proportional to 7,407.41, 10,222.42 and 4,424.97

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Solution

The fourth proportional to 7,407.41, 10,222.42 and 4,424.97 is: 6,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.41 : 10,222.42 = 4,424.97 : x
  2. Step 2: Convert to fraction form
    7,407.41/10,222.42 = 4,424.97/x
  3. Step 3: Cross multiply
    7,407.41x = 10,222.42 × 4,424.97
  4. Step 4: Simplify right side
    7,407.41x = 45,233,901.83
  5. Step 5: Solve for x
    x = 45,233,901.83/7,407.41
  6. Step 6: Final answer
    x = 6,106.57

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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.