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Finding the Fourth Proportional to 8,314, 12,471 and 3,386.32

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Solution

The fourth proportional to 8,314, 12,471 and 3,386.32 is: 5,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314 : 12,471 = 3,386.32 : x
  2. Step 2: Convert to fraction form
    8,314/12,471 = 3,386.32/x
  3. Step 3: Cross multiply
    8,314x = 12,471 × 3,386.32
  4. Step 4: Simplify right side
    8,314x = 42,230,796.72
  5. Step 5: Solve for x
    x = 42,230,796.72/8,314
  6. Step 6: Final answer
    x = 5,079.48

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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.