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Finding the Fourth Proportional to 7,176.84, 10,764.96 and 2,497.92

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Solution

The fourth proportional to 7,176.84, 10,764.96 and 2,497.92 is: 3,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.84 : 10,764.96 = 2,497.92 : x
  2. Step 2: Convert to fraction form
    7,176.84/10,764.96 = 2,497.92/x
  3. Step 3: Cross multiply
    7,176.84x = 10,764.96 × 2,497.92
  4. Step 4: Simplify right side
    7,176.84x = 26,890,008.88
  5. Step 5: Solve for x
    x = 26,890,008.88/7,176.84
  6. Step 6: Final answer
    x = 3,746.78

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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.