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Finding the Fourth Proportional to 10,189.86, 15,215.78 and 8,086.25

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Solution

The fourth proportional to 10,189.86, 15,215.78 and 8,086.25 is: 12,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.86 : 15,215.78 = 8,086.25 : x
  2. Step 2: Convert to fraction form
    10,189.86/15,215.78 = 8,086.25/x
  3. Step 3: Cross multiply
    10,189.86x = 15,215.78 × 8,086.25
  4. Step 4: Simplify right side
    10,189.86x = 123,038,484.51
  5. Step 5: Solve for x
    x = 123,038,484.51/10,189.86
  6. Step 6: Final answer
    x = 12,074.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.