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Finding the Fourth Proportional to 6,188.23, 8,536.89 and 4,506.94

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Solution

The fourth proportional to 6,188.23, 8,536.89 and 4,506.94 is: 6,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.23 : 8,536.89 = 4,506.94 : x
  2. Step 2: Convert to fraction form
    6,188.23/8,536.89 = 4,506.94/x
  3. Step 3: Cross multiply
    6,188.23x = 8,536.89 × 4,506.94
  4. Step 4: Simplify right side
    6,188.23x = 38,475,251.02
  5. Step 5: Solve for x
    x = 38,475,251.02/6,188.23
  6. Step 6: Final answer
    x = 6,217.49

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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.