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Finding the Fourth Proportional to 8,742, 13,103.46 and 4,302.72

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Solution

The fourth proportional to 8,742, 13,103.46 and 4,302.72 is: 6,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 13,103.46 = 4,302.72 : x
  2. Step 2: Convert to fraction form
    8,742/13,103.46 = 4,302.72/x
  3. Step 3: Cross multiply
    8,742x = 13,103.46 × 4,302.72
  4. Step 4: Simplify right side
    8,742x = 56,380,519.41
  5. Step 5: Solve for x
    x = 56,380,519.41/8,742
  6. Step 6: Final answer
    x = 6,449.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.