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Finding the Fourth Proportional to 11,431.44, 15,775.68 and 6,715.68

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Solution

The fourth proportional to 11,431.44, 15,775.68 and 6,715.68 is: 9,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.44 : 15,775.68 = 6,715.68 : x
  2. Step 2: Convert to fraction form
    11,431.44/15,775.68 = 6,715.68/x
  3. Step 3: Cross multiply
    11,431.44x = 15,775.68 × 6,715.68
  4. Step 4: Simplify right side
    11,431.44x = 105,944,418.66
  5. Step 5: Solve for x
    x = 105,944,418.66/11,431.44
  6. Step 6: Final answer
    x = 9,267.81

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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.