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Finding the Fourth Proportional to 7,154.76, 10,733.86 and 2,992.48

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Solution

The fourth proportional to 7,154.76, 10,733.86 and 2,992.48 is: 4,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.76 : 10,733.86 = 2,992.48 : x
  2. Step 2: Convert to fraction form
    7,154.76/10,733.86 = 2,992.48/x
  3. Step 3: Cross multiply
    7,154.76x = 10,733.86 × 2,992.48
  4. Step 4: Simplify right side
    7,154.76x = 32,120,861.37
  5. Step 5: Solve for x
    x = 32,120,861.37/7,154.76
  6. Step 6: Final answer
    x = 4,489.44

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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.