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Finding the Fourth Proportional to 8,276.31, 11,422.71 and 8,002.95

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Solution

The fourth proportional to 8,276.31, 11,422.71 and 8,002.95 is: 11,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.31 : 11,422.71 = 8,002.95 : x
  2. Step 2: Convert to fraction form
    8,276.31/11,422.71 = 8,002.95/x
  3. Step 3: Cross multiply
    8,276.31x = 11,422.71 × 8,002.95
  4. Step 4: Simplify right side
    8,276.31x = 91,415,376.99
  5. Step 5: Solve for x
    x = 91,415,376.99/8,276.31
  6. Step 6: Final answer
    x = 11,045.43

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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.