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Finding the Fourth Proportional to 10,205.88, 15,309.34 and 2,810.17

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Solution

The fourth proportional to 10,205.88, 15,309.34 and 2,810.17 is: 4,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.88 : 15,309.34 = 2,810.17 : x
  2. Step 2: Convert to fraction form
    10,205.88/15,309.34 = 2,810.17/x
  3. Step 3: Cross multiply
    10,205.88x = 15,309.34 × 2,810.17
  4. Step 4: Simplify right side
    10,205.88x = 43,021,847.99
  5. Step 5: Solve for x
    x = 43,021,847.99/10,205.88
  6. Step 6: Final answer
    x = 4,215.40

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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.