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Finding the Fourth Proportional to 10,815, 16,201.52 and 7,105.98

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Solution

The fourth proportional to 10,815, 16,201.52 and 7,105.98 is: 10,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 16,201.52 = 7,105.98 : x
  2. Step 2: Convert to fraction form
    10,815/16,201.52 = 7,105.98/x
  3. Step 3: Cross multiply
    10,815x = 16,201.52 × 7,105.98
  4. Step 4: Simplify right side
    10,815x = 115,127,677.09
  5. Step 5: Solve for x
    x = 115,127,677.09/10,815
  6. Step 6: Final answer
    x = 10,645.19

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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.