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Finding the Fourth Proportional to 11,913.18, 16,440.93 and 6,877.62

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Solution

The fourth proportional to 11,913.18, 16,440.93 and 6,877.62 is: 9,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.18 : 16,440.93 = 6,877.62 : x
  2. Step 2: Convert to fraction form
    11,913.18/16,440.93 = 6,877.62/x
  3. Step 3: Cross multiply
    11,913.18x = 16,440.93 × 6,877.62
  4. Step 4: Simplify right side
    11,913.18x = 113,074,468.99
  5. Step 5: Solve for x
    x = 113,074,468.99/11,913.18
  6. Step 6: Final answer
    x = 9,491.54

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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.