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Finding the Fourth Proportional to 11,857.09, 16,362.93 and 6,551.86

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Solution

The fourth proportional to 11,857.09, 16,362.93 and 6,551.86 is: 9,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.09 : 16,362.93 = 6,551.86 : x
  2. Step 2: Convert to fraction form
    11,857.09/16,362.93 = 6,551.86/x
  3. Step 3: Cross multiply
    11,857.09x = 16,362.93 × 6,551.86
  4. Step 4: Simplify right side
    11,857.09x = 107,207,626.55
  5. Step 5: Solve for x
    x = 107,207,626.55/11,857.09
  6. Step 6: Final answer
    x = 9,041.65

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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.