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Finding the Fourth Proportional to 10,662.04, 14,713.44 and 6,186.54

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Solution

The fourth proportional to 10,662.04, 14,713.44 and 6,186.54 is: 8,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.04 : 14,713.44 = 6,186.54 : x
  2. Step 2: Convert to fraction form
    10,662.04/14,713.44 = 6,186.54/x
  3. Step 3: Cross multiply
    10,662.04x = 14,713.44 × 6,186.54
  4. Step 4: Simplify right side
    10,662.04x = 91,025,285.10
  5. Step 5: Solve for x
    x = 91,025,285.10/10,662.04
  6. Step 6: Final answer
    x = 8,537.32

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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.