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Finding the Fourth Proportional to 7,920.28, 10,929.18 and 4,562.83

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Solution

The fourth proportional to 7,920.28, 10,929.18 and 4,562.83 is: 6,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.28 : 10,929.18 = 4,562.83 : x
  2. Step 2: Convert to fraction form
    7,920.28/10,929.18 = 4,562.83/x
  3. Step 3: Cross multiply
    7,920.28x = 10,929.18 × 4,562.83
  4. Step 4: Simplify right side
    7,920.28x = 49,867,990.38
  5. Step 5: Solve for x
    x = 49,867,990.38/7,920.28
  6. Step 6: Final answer
    x = 6,296.24

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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.