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Finding the Fourth Proportional to 11,343.58, 15,661.76 and 10,144.84

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Solution

The fourth proportional to 11,343.58, 15,661.76 and 10,144.84 is: 14,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.58 : 15,661.76 = 10,144.84 : x
  2. Step 2: Convert to fraction form
    11,343.58/15,661.76 = 10,144.84/x
  3. Step 3: Cross multiply
    11,343.58x = 15,661.76 × 10,144.84
  4. Step 4: Simplify right side
    11,343.58x = 158,886,049.32
  5. Step 5: Solve for x
    x = 158,886,049.32/11,343.58
  6. Step 6: Final answer
    x = 14,006.69

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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.