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Finding the Fourth Proportional to 10,852.14, 16,278.22 and 5,005.56

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Solution

The fourth proportional to 10,852.14, 16,278.22 and 5,005.56 is: 7,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.14 : 16,278.22 = 5,005.56 : x
  2. Step 2: Convert to fraction form
    10,852.14/16,278.22 = 5,005.56/x
  3. Step 3: Cross multiply
    10,852.14x = 16,278.22 × 5,005.56
  4. Step 4: Simplify right side
    10,852.14x = 81,481,646.05
  5. Step 5: Solve for x
    x = 81,481,646.05/10,852.14
  6. Step 6: Final answer
    x = 7,508.35

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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.