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Finding the Fourth Proportional to 8,500.34, 11,727.18 and 6,267.50

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Solution

The fourth proportional to 8,500.34, 11,727.18 and 6,267.50 is: 8,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.34 : 11,727.18 = 6,267.50 : x
  2. Step 2: Convert to fraction form
    8,500.34/11,727.18 = 6,267.50/x
  3. Step 3: Cross multiply
    8,500.34x = 11,727.18 × 6,267.50
  4. Step 4: Simplify right side
    8,500.34x = 73,500,100.65
  5. Step 5: Solve for x
    x = 73,500,100.65/8,500.34
  6. Step 6: Final answer
    x = 8,646.72

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