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Finding the Fourth Proportional to 8,134.31, 11,229.35 and 6,313.28

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Solution

The fourth proportional to 8,134.31, 11,229.35 and 6,313.28 is: 8,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.31 : 11,229.35 = 6,313.28 : x
  2. Step 2: Convert to fraction form
    8,134.31/11,229.35 = 6,313.28/x
  3. Step 3: Cross multiply
    8,134.31x = 11,229.35 × 6,313.28
  4. Step 4: Simplify right side
    8,134.31x = 70,894,030.77
  5. Step 5: Solve for x
    x = 70,894,030.77/8,134.31
  6. Step 6: Final answer
    x = 8,715.43

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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.