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Finding the Fourth Proportional to 10,362.62, 15,521.94 and 8,379.74

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Solution

The fourth proportional to 10,362.62, 15,521.94 and 8,379.74 is: 12,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.62 : 15,521.94 = 8,379.74 : x
  2. Step 2: Convert to fraction form
    10,362.62/15,521.94 = 8,379.74/x
  3. Step 3: Cross multiply
    10,362.62x = 15,521.94 × 8,379.74
  4. Step 4: Simplify right side
    10,362.62x = 130,069,821.50
  5. Step 5: Solve for x
    x = 130,069,821.50/10,362.62
  6. Step 6: Final answer
    x = 12,551.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.