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Finding the Fourth Proportional to 7,957.02, 11,929.84 and 3,737.91

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Solution

The fourth proportional to 7,957.02, 11,929.84 and 3,737.91 is: 5,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.02 : 11,929.84 = 3,737.91 : x
  2. Step 2: Convert to fraction form
    7,957.02/11,929.84 = 3,737.91/x
  3. Step 3: Cross multiply
    7,957.02x = 11,929.84 × 3,737.91
  4. Step 4: Simplify right side
    7,957.02x = 44,592,668.23
  5. Step 5: Solve for x
    x = 44,592,668.23/7,957.02
  6. Step 6: Final answer
    x = 5,604.19

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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.