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Finding the Fourth Proportional to 11,605.90, 16,010.49 and 6,886.84

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Solution

The fourth proportional to 11,605.90, 16,010.49 and 6,886.84 is: 9,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.90 : 16,010.49 = 6,886.84 : x
  2. Step 2: Convert to fraction form
    11,605.90/16,010.49 = 6,886.84/x
  3. Step 3: Cross multiply
    11,605.90x = 16,010.49 × 6,886.84
  4. Step 4: Simplify right side
    11,605.90x = 110,261,682.95
  5. Step 5: Solve for x
    x = 110,261,682.95/11,605.90
  6. Step 6: Final answer
    x = 9,500.49

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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.