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Finding the Fourth Proportional to 11,614.44, 16,031.88 and 7,138.40

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Solution

The fourth proportional to 11,614.44, 16,031.88 and 7,138.40 is: 9,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.44 : 16,031.88 = 7,138.40 : x
  2. Step 2: Convert to fraction form
    11,614.44/16,031.88 = 7,138.40/x
  3. Step 3: Cross multiply
    11,614.44x = 16,031.88 × 7,138.40
  4. Step 4: Simplify right side
    11,614.44x = 114,441,972.19
  5. Step 5: Solve for x
    x = 114,441,972.19/11,614.44
  6. Step 6: Final answer
    x = 9,853.42

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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.