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Finding the Fourth Proportional to 8,215.92, 11,324.16 and 6,225.84

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Solution

The fourth proportional to 8,215.92, 11,324.16 and 6,225.84 is: 8,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.92 : 11,324.16 = 6,225.84 : x
  2. Step 2: Convert to fraction form
    8,215.92/11,324.16 = 6,225.84/x
  3. Step 3: Cross multiply
    8,215.92x = 11,324.16 × 6,225.84
  4. Step 4: Simplify right side
    8,215.92x = 70,502,408.29
  5. Step 5: Solve for x
    x = 70,502,408.29/8,215.92
  6. Step 6: Final answer
    x = 8,581.19

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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.