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Finding the Fourth Proportional to 10,662.41, 14,714.79 and 6,187.16

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Solution

The fourth proportional to 10,662.41, 14,714.79 and 6,187.16 is: 8,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.41 : 14,714.79 = 6,187.16 : x
  2. Step 2: Convert to fraction form
    10,662.41/14,714.79 = 6,187.16/x
  3. Step 3: Cross multiply
    10,662.41x = 14,714.79 × 6,187.16
  4. Step 4: Simplify right side
    10,662.41x = 91,042,760.10
  5. Step 5: Solve for x
    x = 91,042,760.10/10,662.41
  6. Step 6: Final answer
    x = 8,538.67

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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.