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Finding the Fourth Proportional to 8,314.11, 11,478.87 and 6,422.40

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Solution

The fourth proportional to 8,314.11, 11,478.87 and 6,422.40 is: 8,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.11 : 11,478.87 = 6,422.40 : x
  2. Step 2: Convert to fraction form
    8,314.11/11,478.87 = 6,422.40/x
  3. Step 3: Cross multiply
    8,314.11x = 11,478.87 × 6,422.40
  4. Step 4: Simplify right side
    8,314.11x = 73,721,894.69
  5. Step 5: Solve for x
    x = 73,721,894.69/8,314.11
  6. Step 6: Final answer
    x = 8,867.08

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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.