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Finding the Fourth Proportional to 8,342.16, 12,509.24 and 3,144.72

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Solution

The fourth proportional to 8,342.16, 12,509.24 and 3,144.72 is: 4,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.16 : 12,509.24 = 3,144.72 : x
  2. Step 2: Convert to fraction form
    8,342.16/12,509.24 = 3,144.72/x
  3. Step 3: Cross multiply
    8,342.16x = 12,509.24 × 3,144.72
  4. Step 4: Simplify right side
    8,342.16x = 39,338,057.21
  5. Step 5: Solve for x
    x = 39,338,057.21/8,342.16
  6. Step 6: Final answer
    x = 4,715.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.