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Finding the Fourth Proportional to 6,199.90, 8,562.36 and 4,871.50

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Solution

The fourth proportional to 6,199.90, 8,562.36 and 4,871.50 is: 6,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.90 : 8,562.36 = 4,871.50 : x
  2. Step 2: Convert to fraction form
    6,199.90/8,562.36 = 4,871.50/x
  3. Step 3: Cross multiply
    6,199.90x = 8,562.36 × 4,871.50
  4. Step 4: Simplify right side
    6,199.90x = 41,711,536.74
  5. Step 5: Solve for x
    x = 41,711,536.74/6,199.90
  6. Step 6: Final answer
    x = 6,727.78

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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.