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Finding the Fourth Proportional to 10,187.46, 14,057.82 and 6,209.82

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Solution

The fourth proportional to 10,187.46, 14,057.82 and 6,209.82 is: 8,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.46 : 14,057.82 = 6,209.82 : x
  2. Step 2: Convert to fraction form
    10,187.46/14,057.82 = 6,209.82/x
  3. Step 3: Cross multiply
    10,187.46x = 14,057.82 × 6,209.82
  4. Step 4: Simplify right side
    10,187.46x = 87,296,531.79
  5. Step 5: Solve for x
    x = 87,296,531.79/10,187.46
  6. Step 6: Final answer
    x = 8,569.02

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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.