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Finding the Fourth Proportional to 7,342.34, 10,993.90 and 4,217.66

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Solution

The fourth proportional to 7,342.34, 10,993.90 and 4,217.66 is: 6,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.34 : 10,993.90 = 4,217.66 : x
  2. Step 2: Convert to fraction form
    7,342.34/10,993.90 = 4,217.66/x
  3. Step 3: Cross multiply
    7,342.34x = 10,993.90 × 4,217.66
  4. Step 4: Simplify right side
    7,342.34x = 46,368,532.27
  5. Step 5: Solve for x
    x = 46,368,532.27/7,342.34
  6. Step 6: Final answer
    x = 6,315.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.