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Finding the Fourth Proportional to 10,544.77, 15,822.80 and 6,846.13

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Solution

The fourth proportional to 10,544.77, 15,822.80 and 6,846.13 is: 10,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.77 : 15,822.80 = 6,846.13 : x
  2. Step 2: Convert to fraction form
    10,544.77/15,822.80 = 6,846.13/x
  3. Step 3: Cross multiply
    10,544.77x = 15,822.80 × 6,846.13
  4. Step 4: Simplify right side
    10,544.77x = 108,324,945.76
  5. Step 5: Solve for x
    x = 108,324,945.76/10,544.77
  6. Step 6: Final answer
    x = 10,272.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.