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Finding the Fourth Proportional to 7,406.95, 10,221.56 and 4,049.77

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Solution

The fourth proportional to 7,406.95, 10,221.56 and 4,049.77 is: 5,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.95 : 10,221.56 = 4,049.77 : x
  2. Step 2: Convert to fraction form
    7,406.95/10,221.56 = 4,049.77/x
  3. Step 3: Cross multiply
    7,406.95x = 10,221.56 × 4,049.77
  4. Step 4: Simplify right side
    7,406.95x = 41,394,915.93
  5. Step 5: Solve for x
    x = 41,394,915.93/7,406.95
  6. Step 6: Final answer
    x = 5,588.66

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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.