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Finding the Fourth Proportional to 8,467.76, 12,697.14 and 4,964.60

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Solution

The fourth proportional to 8,467.76, 12,697.14 and 4,964.60 is: 7,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.76 : 12,697.14 = 4,964.60 : x
  2. Step 2: Convert to fraction form
    8,467.76/12,697.14 = 4,964.60/x
  3. Step 3: Cross multiply
    8,467.76x = 12,697.14 × 4,964.60
  4. Step 4: Simplify right side
    8,467.76x = 63,036,221.24
  5. Step 5: Solve for x
    x = 63,036,221.24/8,467.76
  6. Step 6: Final answer
    x = 7,444.26

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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.