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Finding the Fourth Proportional to 10,911.67, 15,058.75 and 8,218.14

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Solution

The fourth proportional to 10,911.67, 15,058.75 and 8,218.14 is: 11,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.67 : 15,058.75 = 8,218.14 : x
  2. Step 2: Convert to fraction form
    10,911.67/15,058.75 = 8,218.14/x
  3. Step 3: Cross multiply
    10,911.67x = 15,058.75 × 8,218.14
  4. Step 4: Simplify right side
    10,911.67x = 123,754,915.73
  5. Step 5: Solve for x
    x = 123,754,915.73/10,911.67
  6. Step 6: Final answer
    x = 11,341.52

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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.