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Finding the Fourth Proportional to 10,418.49, 15,622.25 and 7,815.96

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Solution

The fourth proportional to 10,418.49, 15,622.25 and 7,815.96 is: 11,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.49 : 15,622.25 = 7,815.96 : x
  2. Step 2: Convert to fraction form
    10,418.49/15,622.25 = 7,815.96/x
  3. Step 3: Cross multiply
    10,418.49x = 15,622.25 × 7,815.96
  4. Step 4: Simplify right side
    10,418.49x = 122,102,842.03
  5. Step 5: Solve for x
    x = 122,102,842.03/10,418.49
  6. Step 6: Final answer
    x = 11,719.82

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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.