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Finding the Fourth Proportional to 11,898.13, 17,855.28 and 6,355.46

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Solution

The fourth proportional to 11,898.13, 17,855.28 and 6,355.46 is: 9,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.13 : 17,855.28 = 6,355.46 : x
  2. Step 2: Convert to fraction form
    11,898.13/17,855.28 = 6,355.46/x
  3. Step 3: Cross multiply
    11,898.13x = 17,855.28 × 6,355.46
  4. Step 4: Simplify right side
    11,898.13x = 113,478,517.83
  5. Step 5: Solve for x
    x = 113,478,517.83/11,898.13
  6. Step 6: Final answer
    x = 9,537.51

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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.