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Finding the Fourth Proportional to 8,344.36, 12,509.24 and 4,178.53

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Solution

The fourth proportional to 8,344.36, 12,509.24 and 4,178.53 is: 6,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.36 : 12,509.24 = 4,178.53 : x
  2. Step 2: Convert to fraction form
    8,344.36/12,509.24 = 4,178.53/x
  3. Step 3: Cross multiply
    8,344.36x = 12,509.24 × 4,178.53
  4. Step 4: Simplify right side
    8,344.36x = 52,270,213.79
  5. Step 5: Solve for x
    x = 52,270,213.79/8,344.36
  6. Step 6: Final answer
    x = 6,264.14

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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.