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Finding the Fourth Proportional to 8,543.26, 12,816.51 and 3,349

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Solution

The fourth proportional to 8,543.26, 12,816.51 and 3,349 is: 5,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.26 : 12,816.51 = 3,349 : x
  2. Step 2: Convert to fraction form
    8,543.26/12,816.51 = 3,349/x
  3. Step 3: Cross multiply
    8,543.26x = 12,816.51 × 3,349
  4. Step 4: Simplify right side
    8,543.26x = 42,922,491.99
  5. Step 5: Solve for x
    x = 42,922,491.99/8,543.26
  6. Step 6: Final answer
    x = 5,024.14

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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.