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Finding the Fourth Proportional to 7,708.09, 11,529.17 and 6,433.88

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Solution

The fourth proportional to 7,708.09, 11,529.17 and 6,433.88 is: 9,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.09 : 11,529.17 = 6,433.88 : x
  2. Step 2: Convert to fraction form
    7,708.09/11,529.17 = 6,433.88/x
  3. Step 3: Cross multiply
    7,708.09x = 11,529.17 × 6,433.88
  4. Step 4: Simplify right side
    7,708.09x = 74,177,281.87
  5. Step 5: Solve for x
    x = 74,177,281.87/7,708.09
  6. Step 6: Final answer
    x = 9,623.31

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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.