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Finding the Fourth Proportional to 11,833.71, 16,332.10 and 7,527.22

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Solution

The fourth proportional to 11,833.71, 16,332.10 and 7,527.22 is: 10,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.71 : 16,332.10 = 7,527.22 : x
  2. Step 2: Convert to fraction form
    11,833.71/16,332.10 = 7,527.22/x
  3. Step 3: Cross multiply
    11,833.71x = 16,332.10 × 7,527.22
  4. Step 4: Simplify right side
    11,833.71x = 122,935,190.47
  5. Step 5: Solve for x
    x = 122,935,190.47/11,833.71
  6. Step 6: Final answer
    x = 10,388.56

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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.