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Finding the Fourth Proportional to 7,409.61, 10,221.41 and 5,390.75

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Solution

The fourth proportional to 7,409.61, 10,221.41 and 5,390.75 is: 7,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.61 : 10,221.41 = 5,390.75 : x
  2. Step 2: Convert to fraction form
    7,409.61/10,221.41 = 5,390.75/x
  3. Step 3: Cross multiply
    7,409.61x = 10,221.41 × 5,390.75
  4. Step 4: Simplify right side
    7,409.61x = 55,101,065.96
  5. Step 5: Solve for x
    x = 55,101,065.96/7,409.61
  6. Step 6: Final answer
    x = 7,436.43

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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.