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Finding the Fourth Proportional to 8,977.64, 13,468.60 and 2,821.64

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Solution

The fourth proportional to 8,977.64, 13,468.60 and 2,821.64 is: 4,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.64 : 13,468.60 = 2,821.64 : x
  2. Step 2: Convert to fraction form
    8,977.64/13,468.60 = 2,821.64/x
  3. Step 3: Cross multiply
    8,977.64x = 13,468.60 × 2,821.64
  4. Step 4: Simplify right side
    8,977.64x = 38,003,540.50
  5. Step 5: Solve for x
    x = 38,003,540.50/8,977.64
  6. Step 6: Final answer
    x = 4,233.13

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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.