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Finding the Fourth Proportional to 10,828.17, 16,248.74 and 6,214.41

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Solution

The fourth proportional to 10,828.17, 16,248.74 and 6,214.41 is: 9,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.17 : 16,248.74 = 6,214.41 : x
  2. Step 2: Convert to fraction form
    10,828.17/16,248.74 = 6,214.41/x
  3. Step 3: Cross multiply
    10,828.17x = 16,248.74 × 6,214.41
  4. Step 4: Simplify right side
    10,828.17x = 100,976,301.27
  5. Step 5: Solve for x
    x = 100,976,301.27/10,828.17
  6. Step 6: Final answer
    x = 9,325.33

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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.