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Finding the Fourth Proportional to 8,436.64, 12,654.60 and 4,995.76

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Solution

The fourth proportional to 8,436.64, 12,654.60 and 4,995.76 is: 7,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.64 : 12,654.60 = 4,995.76 : x
  2. Step 2: Convert to fraction form
    8,436.64/12,654.60 = 4,995.76/x
  3. Step 3: Cross multiply
    8,436.64x = 12,654.60 × 4,995.76
  4. Step 4: Simplify right side
    8,436.64x = 63,219,344.50
  5. Step 5: Solve for x
    x = 63,219,344.50/8,436.64
  6. Step 6: Final answer
    x = 7,493.43

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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.