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Finding the Fourth Proportional to 8,344.56, 11,527.50 and 6,663.77

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Solution

The fourth proportional to 8,344.56, 11,527.50 and 6,663.77 is: 9,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.56 : 11,527.50 = 6,663.77 : x
  2. Step 2: Convert to fraction form
    8,344.56/11,527.50 = 6,663.77/x
  3. Step 3: Cross multiply
    8,344.56x = 11,527.50 × 6,663.77
  4. Step 4: Simplify right side
    8,344.56x = 76,816,551.04
  5. Step 5: Solve for x
    x = 76,816,551.04/8,344.56
  6. Step 6: Final answer
    x = 9,205.58

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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.