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Finding the Fourth Proportional to 10,870.86, 16,295.25 and 6,181.18

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Solution

The fourth proportional to 10,870.86, 16,295.25 and 6,181.18 is: 9,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.86 : 16,295.25 = 6,181.18 : x
  2. Step 2: Convert to fraction form
    10,870.86/16,295.25 = 6,181.18/x
  3. Step 3: Cross multiply
    10,870.86x = 16,295.25 × 6,181.18
  4. Step 4: Simplify right side
    10,870.86x = 100,723,855.84
  5. Step 5: Solve for x
    x = 100,723,855.84/10,870.86
  6. Step 6: Final answer
    x = 9,265.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.