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Finding the Fourth Proportional to 10,296.34, 15,447.24 and 5,364.52

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Solution

The fourth proportional to 10,296.34, 15,447.24 and 5,364.52 is: 8,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.34 : 15,447.24 = 5,364.52 : x
  2. Step 2: Convert to fraction form
    10,296.34/15,447.24 = 5,364.52/x
  3. Step 3: Cross multiply
    10,296.34x = 15,447.24 × 5,364.52
  4. Step 4: Simplify right side
    10,296.34x = 82,867,027.92
  5. Step 5: Solve for x
    x = 82,867,027.92/10,296.34
  6. Step 6: Final answer
    x = 8,048.20

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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.