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Finding the Fourth Proportional to 8,924, 12,315.12 and 5,198

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Solution

The fourth proportional to 8,924, 12,315.12 and 5,198 is: 7,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924 : 12,315.12 = 5,198 : x
  2. Step 2: Convert to fraction form
    8,924/12,315.12 = 5,198/x
  3. Step 3: Cross multiply
    8,924x = 12,315.12 × 5,198
  4. Step 4: Simplify right side
    8,924x = 64,013,993.76
  5. Step 5: Solve for x
    x = 64,013,993.76/8,924
  6. Step 6: Final answer
    x = 7,173.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.