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Finding the Fourth Proportional to 8,215.20, 11,337.08 and 4,678.42

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Solution

The fourth proportional to 8,215.20, 11,337.08 and 4,678.42 is: 6,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.20 : 11,337.08 = 4,678.42 : x
  2. Step 2: Convert to fraction form
    8,215.20/11,337.08 = 4,678.42/x
  3. Step 3: Cross multiply
    8,215.20x = 11,337.08 × 4,678.42
  4. Step 4: Simplify right side
    8,215.20x = 53,039,621.81
  5. Step 5: Solve for x
    x = 53,039,621.81/8,215.20
  6. Step 6: Final answer
    x = 6,456.28

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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.