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Finding the Fourth Proportional to 11,953.28, 16,494.76 and 7,476.81

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Solution

The fourth proportional to 11,953.28, 16,494.76 and 7,476.81 is: 10,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.28 : 16,494.76 = 7,476.81 : x
  2. Step 2: Convert to fraction form
    11,953.28/16,494.76 = 7,476.81/x
  3. Step 3: Cross multiply
    11,953.28x = 16,494.76 × 7,476.81
  4. Step 4: Simplify right side
    11,953.28x = 123,328,186.52
  5. Step 5: Solve for x
    x = 123,328,186.52/11,953.28
  6. Step 6: Final answer
    x = 10,317.52

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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.