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Finding the Fourth Proportional to 7,920.76, 10,930.38 and 4,384.12

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Solution

The fourth proportional to 7,920.76, 10,930.38 and 4,384.12 is: 6,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.76 : 10,930.38 = 4,384.12 : x
  2. Step 2: Convert to fraction form
    7,920.76/10,930.38 = 4,384.12/x
  3. Step 3: Cross multiply
    7,920.76x = 10,930.38 × 4,384.12
  4. Step 4: Simplify right side
    7,920.76x = 47,920,097.57
  5. Step 5: Solve for x
    x = 47,920,097.57/7,920.76
  6. Step 6: Final answer
    x = 6,049.94

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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.