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Finding the Fourth Proportional to 7,993.84, 11,030.22 and 4,456.57

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Solution

The fourth proportional to 7,993.84, 11,030.22 and 4,456.57 is: 6,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.84 : 11,030.22 = 4,456.57 : x
  2. Step 2: Convert to fraction form
    7,993.84/11,030.22 = 4,456.57/x
  3. Step 3: Cross multiply
    7,993.84x = 11,030.22 × 4,456.57
  4. Step 4: Simplify right side
    7,993.84x = 49,156,947.55
  5. Step 5: Solve for x
    x = 49,156,947.55/7,993.84
  6. Step 6: Final answer
    x = 6,149.35

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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.