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Finding the Fourth Proportional to 8,920.77, 12,311.96 and 5,384.49

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Solution

The fourth proportional to 8,920.77, 12,311.96 and 5,384.49 is: 7,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.77 : 12,311.96 = 5,384.49 : x
  2. Step 2: Convert to fraction form
    8,920.77/12,311.96 = 5,384.49/x
  3. Step 3: Cross multiply
    8,920.77x = 12,311.96 × 5,384.49
  4. Step 4: Simplify right side
    8,920.77x = 66,293,598.58
  5. Step 5: Solve for x
    x = 66,293,598.58/8,920.77
  6. Step 6: Final answer
    x = 7,431.38

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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.