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Finding the Fourth Proportional to 7,967.76, 11,953.80 and 2,774.04

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Solution

The fourth proportional to 7,967.76, 11,953.80 and 2,774.04 is: 4,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.76 : 11,953.80 = 2,774.04 : x
  2. Step 2: Convert to fraction form
    7,967.76/11,953.80 = 2,774.04/x
  3. Step 3: Cross multiply
    7,967.76x = 11,953.80 × 2,774.04
  4. Step 4: Simplify right side
    7,967.76x = 33,160,319.35
  5. Step 5: Solve for x
    x = 33,160,319.35/7,967.76
  6. Step 6: Final answer
    x = 4,161.81

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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.