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Finding the Fourth Proportional to 6,600.30, 9,910.71 and 5,686.08

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Solution

The fourth proportional to 6,600.30, 9,910.71 and 5,686.08 is: 8,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.30 : 9,910.71 = 5,686.08 : x
  2. Step 2: Convert to fraction form
    6,600.30/9,910.71 = 5,686.08/x
  3. Step 3: Cross multiply
    6,600.30x = 9,910.71 × 5,686.08
  4. Step 4: Simplify right side
    6,600.30x = 56,353,089.92
  5. Step 5: Solve for x
    x = 56,353,089.92/6,600.30
  6. Step 6: Final answer
    x = 8,537.96

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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.