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Finding the Fourth Proportional to 11,898.90, 16,434.50 and 7,912.89

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Solution

The fourth proportional to 11,898.90, 16,434.50 and 7,912.89 is: 10,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.90 : 16,434.50 = 7,912.89 : x
  2. Step 2: Convert to fraction form
    11,898.90/16,434.50 = 7,912.89/x
  3. Step 3: Cross multiply
    11,898.90x = 16,434.50 × 7,912.89
  4. Step 4: Simplify right side
    11,898.90x = 130,044,351.14
  5. Step 5: Solve for x
    x = 130,044,351.14/11,898.90
  6. Step 6: Final answer
    x = 10,929.11

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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.