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Finding the Fourth Proportional to 11,838.98, 16,337.44 and 6,803.03

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Solution

The fourth proportional to 11,838.98, 16,337.44 and 6,803.03 is: 9,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.98 : 16,337.44 = 6,803.03 : x
  2. Step 2: Convert to fraction form
    11,838.98/16,337.44 = 6,803.03/x
  3. Step 3: Cross multiply
    11,838.98x = 16,337.44 × 6,803.03
  4. Step 4: Simplify right side
    11,838.98x = 111,144,094.44
  5. Step 5: Solve for x
    x = 111,144,094.44/11,838.98
  6. Step 6: Final answer
    x = 9,387.98

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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.