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Finding the Fourth Proportional to 8,216.64, 12,320.64 and 7,067.52

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Solution

The fourth proportional to 8,216.64, 12,320.64 and 7,067.52 is: 10,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.64 : 12,320.64 = 7,067.52 : x
  2. Step 2: Convert to fraction form
    8,216.64/12,320.64 = 7,067.52/x
  3. Step 3: Cross multiply
    8,216.64x = 12,320.64 × 7,067.52
  4. Step 4: Simplify right side
    8,216.64x = 87,076,369.61
  5. Step 5: Solve for x
    x = 87,076,369.61/8,216.64
  6. Step 6: Final answer
    x = 10,597.56

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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.