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Finding the Fourth Proportional to 11,857.63, 16,362.93 and 6,552.31

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Solution

The fourth proportional to 11,857.63, 16,362.93 and 6,552.31 is: 9,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.63 : 16,362.93 = 6,552.31 : x
  2. Step 2: Convert to fraction form
    11,857.63/16,362.93 = 6,552.31/x
  3. Step 3: Cross multiply
    11,857.63x = 16,362.93 × 6,552.31
  4. Step 4: Simplify right side
    11,857.63x = 107,214,989.87
  5. Step 5: Solve for x
    x = 107,214,989.87/11,857.63
  6. Step 6: Final answer
    x = 9,041.86

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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.