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Finding the Fourth Proportional to 11,897.84, 16,422.40 and 7,182.44

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Solution

The fourth proportional to 11,897.84, 16,422.40 and 7,182.44 is: 9,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.84 : 16,422.40 = 7,182.44 : x
  2. Step 2: Convert to fraction form
    11,897.84/16,422.40 = 7,182.44/x
  3. Step 3: Cross multiply
    11,897.84x = 16,422.40 × 7,182.44
  4. Step 4: Simplify right side
    11,897.84x = 117,952,902.66
  5. Step 5: Solve for x
    x = 117,952,902.66/11,897.84
  6. Step 6: Final answer
    x = 9,913.81

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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.