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Finding the Fourth Proportional to 11,926.14, 16,463.76 and 7,456.47

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Solution

The fourth proportional to 11,926.14, 16,463.76 and 7,456.47 is: 10,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.14 : 16,463.76 = 7,456.47 : x
  2. Step 2: Convert to fraction form
    11,926.14/16,463.76 = 7,456.47/x
  3. Step 3: Cross multiply
    11,926.14x = 16,463.76 × 7,456.47
  4. Step 4: Simplify right side
    11,926.14x = 122,761,532.53
  5. Step 5: Solve for x
    x = 122,761,532.53/11,926.14
  6. Step 6: Final answer
    x = 10,293.48

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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.