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Finding the Fourth Proportional to 10,186, 14,056.67 and 6,207.13

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Solution

The fourth proportional to 10,186, 14,056.67 and 6,207.13 is: 8,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 14,056.67 = 6,207.13 : x
  2. Step 2: Convert to fraction form
    10,186/14,056.67 = 6,207.13/x
  3. Step 3: Cross multiply
    10,186x = 14,056.67 × 6,207.13
  4. Step 4: Simplify right side
    10,186x = 87,251,578.06
  5. Step 5: Solve for x
    x = 87,251,578.06/10,186
  6. Step 6: Final answer
    x = 8,565.83

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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.