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Finding the Fourth Proportional to 7,456.34, 10,290.69 and 4,311.92

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Solution

The fourth proportional to 7,456.34, 10,290.69 and 4,311.92 is: 5,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.34 : 10,290.69 = 4,311.92 : x
  2. Step 2: Convert to fraction form
    7,456.34/10,290.69 = 4,311.92/x
  3. Step 3: Cross multiply
    7,456.34x = 10,290.69 × 4,311.92
  4. Step 4: Simplify right side
    7,456.34x = 44,372,580.57
  5. Step 5: Solve for x
    x = 44,372,580.57/7,456.34
  6. Step 6: Final answer
    x = 5,950.99

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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.