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Finding the Fourth Proportional to 11,498.49, 15,868.07 and 6,961.12

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Solution

The fourth proportional to 11,498.49, 15,868.07 and 6,961.12 is: 9,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.49 : 15,868.07 = 6,961.12 : x
  2. Step 2: Convert to fraction form
    11,498.49/15,868.07 = 6,961.12/x
  3. Step 3: Cross multiply
    11,498.49x = 15,868.07 × 6,961.12
  4. Step 4: Simplify right side
    11,498.49x = 110,459,539.44
  5. Step 5: Solve for x
    x = 110,459,539.44/11,498.49
  6. Step 6: Final answer
    x = 9,606.44

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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.