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Finding the Fourth Proportional to 11,401.10, 15,732.05 and 7,427.60

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Solution

The fourth proportional to 11,401.10, 15,732.05 and 7,427.60 is: 10,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.10 : 15,732.05 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    11,401.10/15,732.05 = 7,427.60/x
  3. Step 3: Cross multiply
    11,401.10x = 15,732.05 × 7,427.60
  4. Step 4: Simplify right side
    11,401.10x = 116,851,338.67
  5. Step 5: Solve for x
    x = 116,851,338.67/11,401.10
  6. Step 6: Final answer
    x = 10,249.12

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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.