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Finding the Fourth Proportional to 10,195.50, 14,093.34 and 8,507.07

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Solution

The fourth proportional to 10,195.50, 14,093.34 and 8,507.07 is: 11,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.50 : 14,093.34 = 8,507.07 : x
  2. Step 2: Convert to fraction form
    10,195.50/14,093.34 = 8,507.07/x
  3. Step 3: Cross multiply
    10,195.50x = 14,093.34 × 8,507.07
  4. Step 4: Simplify right side
    10,195.50x = 119,893,029.91
  5. Step 5: Solve for x
    x = 119,893,029.91/10,195.50
  6. Step 6: Final answer
    x = 11,759.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.