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Finding the Fourth Proportional to 10,299, 15,446.16 and 2,904.18

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Solution

The fourth proportional to 10,299, 15,446.16 and 2,904.18 is: 4,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 15,446.16 = 2,904.18 : x
  2. Step 2: Convert to fraction form
    10,299/15,446.16 = 2,904.18/x
  3. Step 3: Cross multiply
    10,299x = 15,446.16 × 2,904.18
  4. Step 4: Simplify right side
    10,299x = 44,858,428.95
  5. Step 5: Solve for x
    x = 44,858,428.95/10,299
  6. Step 6: Final answer
    x = 4,355.61

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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.