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Finding the Fourth Proportional to 11,857.14, 16,362.69 and 6,551.88

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Solution

The fourth proportional to 11,857.14, 16,362.69 and 6,551.88 is: 9,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.14 : 16,362.69 = 6,551.88 : x
  2. Step 2: Convert to fraction form
    11,857.14/16,362.69 = 6,551.88/x
  3. Step 3: Cross multiply
    11,857.14x = 16,362.69 × 6,551.88
  4. Step 4: Simplify right side
    11,857.14x = 107,206,381.36
  5. Step 5: Solve for x
    x = 107,206,381.36/11,857.14
  6. Step 6: Final answer
    x = 9,041.50

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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.