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Finding the Fourth Proportional to 8,232, 12,319.26 and 6,733.90

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Solution

The fourth proportional to 8,232, 12,319.26 and 6,733.90 is: 10,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,319.26 = 6,733.90 : x
  2. Step 2: Convert to fraction form
    8,232/12,319.26 = 6,733.90/x
  3. Step 3: Cross multiply
    8,232x = 12,319.26 × 6,733.90
  4. Step 4: Simplify right side
    8,232x = 82,956,664.91
  5. Step 5: Solve for x
    x = 82,956,664.91/8,232
  6. Step 6: Final answer
    x = 10,077.34

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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.