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Finding the Fourth Proportional to 8,174.48, 12,244.44 and 6,784.52

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Solution

The fourth proportional to 8,174.48, 12,244.44 and 6,784.52 is: 10,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.48 : 12,244.44 = 6,784.52 : x
  2. Step 2: Convert to fraction form
    8,174.48/12,244.44 = 6,784.52/x
  3. Step 3: Cross multiply
    8,174.48x = 12,244.44 × 6,784.52
  4. Step 4: Simplify right side
    8,174.48x = 83,072,648.07
  5. Step 5: Solve for x
    x = 83,072,648.07/8,174.48
  6. Step 6: Final answer
    x = 10,162.44

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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.