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Finding the Fourth Proportional to 11,913.90, 16,443.36 and 6,877.44

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Solution

The fourth proportional to 11,913.90, 16,443.36 and 6,877.44 is: 9,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.90 : 16,443.36 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    11,913.90/16,443.36 = 6,877.44/x
  3. Step 3: Cross multiply
    11,913.90x = 16,443.36 × 6,877.44
  4. Step 4: Simplify right side
    11,913.90x = 113,088,221.80
  5. Step 5: Solve for x
    x = 113,088,221.80/11,913.90
  6. Step 6: Final answer
    x = 9,492.12

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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.