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Finding the Fourth Proportional to 10,195.67, 15,283.16 and 6,909.09

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Solution

The fourth proportional to 10,195.67, 15,283.16 and 6,909.09 is: 10,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.67 : 15,283.16 = 6,909.09 : x
  2. Step 2: Convert to fraction form
    10,195.67/15,283.16 = 6,909.09/x
  3. Step 3: Cross multiply
    10,195.67x = 15,283.16 × 6,909.09
  4. Step 4: Simplify right side
    10,195.67x = 105,592,727.92
  5. Step 5: Solve for x
    x = 105,592,727.92/10,195.67
  6. Step 6: Final answer
    x = 10,356.62

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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.