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Finding the Fourth Proportional to 10,857.04, 16,285.60 and 2,649.04

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Solution

The fourth proportional to 10,857.04, 16,285.60 and 2,649.04 is: 3,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.04 : 16,285.60 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    10,857.04/16,285.60 = 2,649.04/x
  3. Step 3: Cross multiply
    10,857.04x = 16,285.60 × 2,649.04
  4. Step 4: Simplify right side
    10,857.04x = 43,141,205.82
  5. Step 5: Solve for x
    x = 43,141,205.82/10,857.04
  6. Step 6: Final answer
    x = 3,973.57

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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.