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Finding the Fourth Proportional to 10,186.62, 14,065.89 and 6,415.86

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Solution

The fourth proportional to 10,186.62, 14,065.89 and 6,415.86 is: 8,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.62 : 14,065.89 = 6,415.86 : x
  2. Step 2: Convert to fraction form
    10,186.62/14,065.89 = 6,415.86/x
  3. Step 3: Cross multiply
    10,186.62x = 14,065.89 × 6,415.86
  4. Step 4: Simplify right side
    10,186.62x = 90,244,781.02
  5. Step 5: Solve for x
    x = 90,244,781.02/10,186.62
  6. Step 6: Final answer
    x = 8,859.15

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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.