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Finding the Fourth Proportional to 10,184.67, 14,054.09 and 6,205.14

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Solution

The fourth proportional to 10,184.67, 14,054.09 and 6,205.14 is: 8,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.67 : 14,054.09 = 6,205.14 : x
  2. Step 2: Convert to fraction form
    10,184.67/14,054.09 = 6,205.14/x
  3. Step 3: Cross multiply
    10,184.67x = 14,054.09 × 6,205.14
  4. Step 4: Simplify right side
    10,184.67x = 87,207,565.00
  5. Step 5: Solve for x
    x = 87,207,565.00/10,184.67
  6. Step 6: Final answer
    x = 8,562.63

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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.