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Finding the Fourth Proportional to 11,460.20, 15,814.42 and 6,424.08

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Solution

The fourth proportional to 11,460.20, 15,814.42 and 6,424.08 is: 8,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.20 : 15,814.42 = 6,424.08 : x
  2. Step 2: Convert to fraction form
    11,460.20/15,814.42 = 6,424.08/x
  3. Step 3: Cross multiply
    11,460.20x = 15,814.42 × 6,424.08
  4. Step 4: Simplify right side
    11,460.20x = 101,593,099.23
  5. Step 5: Solve for x
    x = 101,593,099.23/11,460.20
  6. Step 6: Final answer
    x = 8,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.