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Finding the Fourth Proportional to 8,682.30, 13,002.48 and 4,973.28

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Solution

The fourth proportional to 8,682.30, 13,002.48 and 4,973.28 is: 7,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.30 : 13,002.48 = 4,973.28 : x
  2. Step 2: Convert to fraction form
    8,682.30/13,002.48 = 4,973.28/x
  3. Step 3: Cross multiply
    8,682.30x = 13,002.48 × 4,973.28
  4. Step 4: Simplify right side
    8,682.30x = 64,664,973.73
  5. Step 5: Solve for x
    x = 64,664,973.73/8,682.30
  6. Step 6: Final answer
    x = 7,447.91

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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.