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Finding the Fourth Proportional to 8,223.20, 11,345.16 and 5,704.40

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Solution

The fourth proportional to 8,223.20, 11,345.16 and 5,704.40 is: 7,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.20 : 11,345.16 = 5,704.40 : x
  2. Step 2: Convert to fraction form
    8,223.20/11,345.16 = 5,704.40/x
  3. Step 3: Cross multiply
    8,223.20x = 11,345.16 × 5,704.40
  4. Step 4: Simplify right side
    8,223.20x = 64,717,330.70
  5. Step 5: Solve for x
    x = 64,717,330.70/8,223.20
  6. Step 6: Final answer
    x = 7,870.09

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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.