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Finding the Fourth Proportional to 8,314.06, 12,471.36 and 4,364.32

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Solution

The fourth proportional to 8,314.06, 12,471.36 and 4,364.32 is: 6,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.06 : 12,471.36 = 4,364.32 : x
  2. Step 2: Convert to fraction form
    8,314.06/12,471.36 = 4,364.32/x
  3. Step 3: Cross multiply
    8,314.06x = 12,471.36 × 4,364.32
  4. Step 4: Simplify right side
    8,314.06x = 54,429,005.88
  5. Step 5: Solve for x
    x = 54,429,005.88/8,314.06
  6. Step 6: Final answer
    x = 6,546.62

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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.