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Finding the Fourth Proportional to 8,256.24, 12,384.36 and 3,642.48

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Solution

The fourth proportional to 8,256.24, 12,384.36 and 3,642.48 is: 5,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.24 : 12,384.36 = 3,642.48 : x
  2. Step 2: Convert to fraction form
    8,256.24/12,384.36 = 3,642.48/x
  3. Step 3: Cross multiply
    8,256.24x = 12,384.36 × 3,642.48
  4. Step 4: Simplify right side
    8,256.24x = 45,109,783.61
  5. Step 5: Solve for x
    x = 45,109,783.61/8,256.24
  6. Step 6: Final answer
    x = 5,463.72

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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.