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Finding the Fourth Proportional to 8,980.64, 13,473.10 and 2,824.64

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Solution

The fourth proportional to 8,980.64, 13,473.10 and 2,824.64 is: 4,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.64 : 13,473.10 = 2,824.64 : x
  2. Step 2: Convert to fraction form
    8,980.64/13,473.10 = 2,824.64/x
  3. Step 3: Cross multiply
    8,980.64x = 13,473.10 × 2,824.64
  4. Step 4: Simplify right side
    8,980.64x = 38,056,657.18
  5. Step 5: Solve for x
    x = 38,056,657.18/8,980.64
  6. Step 6: Final answer
    x = 4,237.63

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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.