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Finding the Fourth Proportional to 8,817.20, 12,168 and 4,838.58

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Solution

The fourth proportional to 8,817.20, 12,168 and 4,838.58 is: 6,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.20 : 12,168 = 4,838.58 : x
  2. Step 2: Convert to fraction form
    8,817.20/12,168 = 4,838.58/x
  3. Step 3: Cross multiply
    8,817.20x = 12,168 × 4,838.58
  4. Step 4: Simplify right side
    8,817.20x = 58,875,841.44
  5. Step 5: Solve for x
    x = 58,875,841.44/8,817.20
  6. Step 6: Final answer
    x = 6,677.39

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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.