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Finding the Fourth Proportional to 7,929.57, 11,894.22 and 2,382.96

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Solution

The fourth proportional to 7,929.57, 11,894.22 and 2,382.96 is: 3,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.57 : 11,894.22 = 2,382.96 : x
  2. Step 2: Convert to fraction form
    7,929.57/11,894.22 = 2,382.96/x
  3. Step 3: Cross multiply
    7,929.57x = 11,894.22 × 2,382.96
  4. Step 4: Simplify right side
    7,929.57x = 28,343,450.49
  5. Step 5: Solve for x
    x = 28,343,450.49/7,929.57
  6. Step 6: Final answer
    x = 3,574.40

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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.