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Finding the Fourth Proportional to 11,431.58, 15,775.46 and 6,395.80

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Solution

The fourth proportional to 11,431.58, 15,775.46 and 6,395.80 is: 8,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.58 : 15,775.46 = 6,395.80 : x
  2. Step 2: Convert to fraction form
    11,431.58/15,775.46 = 6,395.80/x
  3. Step 3: Cross multiply
    11,431.58x = 15,775.46 × 6,395.80
  4. Step 4: Simplify right side
    11,431.58x = 100,896,687.07
  5. Step 5: Solve for x
    x = 100,896,687.07/11,431.58
  6. Step 6: Final answer
    x = 8,826.14

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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.