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Finding the Fourth Proportional to 8,256.52, 11,398.42 and 6,363.96

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Solution

The fourth proportional to 8,256.52, 11,398.42 and 6,363.96 is: 8,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.52 : 11,398.42 = 6,363.96 : x
  2. Step 2: Convert to fraction form
    8,256.52/11,398.42 = 6,363.96/x
  3. Step 3: Cross multiply
    8,256.52x = 11,398.42 × 6,363.96
  4. Step 4: Simplify right side
    8,256.52x = 72,539,088.94
  5. Step 5: Solve for x
    x = 72,539,088.94/8,256.52
  6. Step 6: Final answer
    x = 8,785.67

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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.