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Finding the Fourth Proportional to 7,957.04, 11,933.76 and 3,024.92

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Solution

The fourth proportional to 7,957.04, 11,933.76 and 3,024.92 is: 4,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.04 : 11,933.76 = 3,024.92 : x
  2. Step 2: Convert to fraction form
    7,957.04/11,933.76 = 3,024.92/x
  3. Step 3: Cross multiply
    7,957.04x = 11,933.76 × 3,024.92
  4. Step 4: Simplify right side
    7,957.04x = 36,098,669.30
  5. Step 5: Solve for x
    x = 36,098,669.30/7,957.04
  6. Step 6: Final answer
    x = 4,536.70

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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.