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Finding the Fourth Proportional to 11,371.78, 15,694.50 and 6,655.96

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Solution

The fourth proportional to 11,371.78, 15,694.50 and 6,655.96 is: 9,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.78 : 15,694.50 = 6,655.96 : x
  2. Step 2: Convert to fraction form
    11,371.78/15,694.50 = 6,655.96/x
  3. Step 3: Cross multiply
    11,371.78x = 15,694.50 × 6,655.96
  4. Step 4: Simplify right side
    11,371.78x = 104,461,964.22
  5. Step 5: Solve for x
    x = 104,461,964.22/11,371.78
  6. Step 6: Final answer
    x = 9,186.07

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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.