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Finding the Fourth Proportional to 11,333.86, 15,641.99 and 6,857.80

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Solution

The fourth proportional to 11,333.86, 15,641.99 and 6,857.80 is: 9,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.86 : 15,641.99 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    11,333.86/15,641.99 = 6,857.80/x
  3. Step 3: Cross multiply
    11,333.86x = 15,641.99 × 6,857.80
  4. Step 4: Simplify right side
    11,333.86x = 107,269,639.02
  5. Step 5: Solve for x
    x = 107,269,639.02/11,333.86
  6. Step 6: Final answer
    x = 9,464.53

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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.