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Finding the Fourth Proportional to 10,186.95, 14,057.98 and 6,208.05

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Solution

The fourth proportional to 10,186.95, 14,057.98 and 6,208.05 is: 8,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.95 : 14,057.98 = 6,208.05 : x
  2. Step 2: Convert to fraction form
    10,186.95/14,057.98 = 6,208.05/x
  3. Step 3: Cross multiply
    10,186.95x = 14,057.98 × 6,208.05
  4. Step 4: Simplify right side
    10,186.95x = 87,272,657.86
  5. Step 5: Solve for x
    x = 87,272,657.86/10,186.95
  6. Step 6: Final answer
    x = 8,567.11

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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.