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Finding the Fourth Proportional to 8,354.64, 11,529.36 and 4,818

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Solution

The fourth proportional to 8,354.64, 11,529.36 and 4,818 is: 6,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.64 : 11,529.36 = 4,818 : x
  2. Step 2: Convert to fraction form
    8,354.64/11,529.36 = 4,818/x
  3. Step 3: Cross multiply
    8,354.64x = 11,529.36 × 4,818
  4. Step 4: Simplify right side
    8,354.64x = 55,548,456.48
  5. Step 5: Solve for x
    x = 55,548,456.48/8,354.64
  6. Step 6: Final answer
    x = 6,648.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.