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Finding the Fourth Proportional to 6,678.16, 10,027.66 and 6,382.40

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Solution

The fourth proportional to 6,678.16, 10,027.66 and 6,382.40 is: 9,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.16 : 10,027.66 = 6,382.40 : x
  2. Step 2: Convert to fraction form
    6,678.16/10,027.66 = 6,382.40/x
  3. Step 3: Cross multiply
    6,678.16x = 10,027.66 × 6,382.40
  4. Step 4: Simplify right side
    6,678.16x = 64,000,537.18
  5. Step 5: Solve for x
    x = 64,000,537.18/6,678.16
  6. Step 6: Final answer
    x = 9,583.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.