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Finding the Fourth Proportional to 11,913.72, 16,437.12 and 6,877.26

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Solution

The fourth proportional to 11,913.72, 16,437.12 and 6,877.26 is: 9,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.72 : 16,437.12 = 6,877.26 : x
  2. Step 2: Convert to fraction form
    11,913.72/16,437.12 = 6,877.26/x
  3. Step 3: Cross multiply
    11,913.72x = 16,437.12 × 6,877.26
  4. Step 4: Simplify right side
    11,913.72x = 113,042,347.89
  5. Step 5: Solve for x
    x = 113,042,347.89/11,913.72
  6. Step 6: Final answer
    x = 9,488.42

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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.