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Finding the Fourth Proportional to 8,929.62, 12,323.10 and 5,390.76

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Solution

The fourth proportional to 8,929.62, 12,323.10 and 5,390.76 is: 7,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.62 : 12,323.10 = 5,390.76 : x
  2. Step 2: Convert to fraction form
    8,929.62/12,323.10 = 5,390.76/x
  3. Step 3: Cross multiply
    8,929.62x = 12,323.10 × 5,390.76
  4. Step 4: Simplify right side
    8,929.62x = 66,430,874.56
  5. Step 5: Solve for x
    x = 66,430,874.56/8,929.62
  6. Step 6: Final answer
    x = 7,439.38

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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.