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Finding the Fourth Proportional to 11,837.40, 16,335.76 and 6,532.40

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Solution

The fourth proportional to 11,837.40, 16,335.76 and 6,532.40 is: 9,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.40 : 16,335.76 = 6,532.40 : x
  2. Step 2: Convert to fraction form
    11,837.40/16,335.76 = 6,532.40/x
  3. Step 3: Cross multiply
    11,837.40x = 16,335.76 × 6,532.40
  4. Step 4: Simplify right side
    11,837.40x = 106,711,718.62
  5. Step 5: Solve for x
    x = 106,711,718.62/11,837.40
  6. Step 6: Final answer
    x = 9,014.79

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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.