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Finding the Fourth Proportional to 11,446.29, 17,083.62 and 10,698.95

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Solution

The fourth proportional to 11,446.29, 17,083.62 and 10,698.95 is: 15,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.29 : 17,083.62 = 10,698.95 : x
  2. Step 2: Convert to fraction form
    11,446.29/17,083.62 = 10,698.95/x
  3. Step 3: Cross multiply
    11,446.29x = 17,083.62 × 10,698.95
  4. Step 4: Simplify right side
    11,446.29x = 182,776,796.20
  5. Step 5: Solve for x
    x = 182,776,796.20/11,446.29
  6. Step 6: Final answer
    x = 15,968.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.