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Finding the Fourth Proportional to 11,333.62, 15,641.88 and 6,857.56

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Solution

The fourth proportional to 11,333.62, 15,641.88 and 6,857.56 is: 9,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.62 : 15,641.88 = 6,857.56 : x
  2. Step 2: Convert to fraction form
    11,333.62/15,641.88 = 6,857.56/x
  3. Step 3: Cross multiply
    11,333.62x = 15,641.88 × 6,857.56
  4. Step 4: Simplify right side
    11,333.62x = 107,265,130.61
  5. Step 5: Solve for x
    x = 107,265,130.61/11,333.62
  6. Step 6: Final answer
    x = 9,464.33

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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.