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Finding the Fourth Proportional to 11,519.72, 15,897.03 and 6,742.95

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Solution

The fourth proportional to 11,519.72, 15,897.03 and 6,742.95 is: 9,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.72 : 15,897.03 = 6,742.95 : x
  2. Step 2: Convert to fraction form
    11,519.72/15,897.03 = 6,742.95/x
  3. Step 3: Cross multiply
    11,519.72x = 15,897.03 × 6,742.95
  4. Step 4: Simplify right side
    11,519.72x = 107,192,878.44
  5. Step 5: Solve for x
    x = 107,192,878.44/11,519.72
  6. Step 6: Final answer
    x = 9,305.17

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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.