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Finding the Fourth Proportional to 11,204.91, 15,462.20 and 6,424.71

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Solution

The fourth proportional to 11,204.91, 15,462.20 and 6,424.71 is: 8,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.91 : 15,462.20 = 6,424.71 : x
  2. Step 2: Convert to fraction form
    11,204.91/15,462.20 = 6,424.71/x
  3. Step 3: Cross multiply
    11,204.91x = 15,462.20 × 6,424.71
  4. Step 4: Simplify right side
    11,204.91x = 99,340,118.84
  5. Step 5: Solve for x
    x = 99,340,118.84/11,204.91
  6. Step 6: Final answer
    x = 8,865.77

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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.