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Finding the Fourth Proportional to 10,902.90, 16,352.46 and 3,109.62

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Solution

The fourth proportional to 10,902.90, 16,352.46 and 3,109.62 is: 4,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.90 : 16,352.46 = 3,109.62 : x
  2. Step 2: Convert to fraction form
    10,902.90/16,352.46 = 3,109.62/x
  3. Step 3: Cross multiply
    10,902.90x = 16,352.46 × 3,109.62
  4. Step 4: Simplify right side
    10,902.90x = 50,849,936.67
  5. Step 5: Solve for x
    x = 50,849,936.67/10,902.90
  6. Step 6: Final answer
    x = 4,663.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.