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Finding the Fourth Proportional to 7,707.29, 11,561.00 and 6,072.57

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Solution

The fourth proportional to 7,707.29, 11,561.00 and 6,072.57 is: 9,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.29 : 11,561.00 = 6,072.57 : x
  2. Step 2: Convert to fraction form
    7,707.29/11,561.00 = 6,072.57/x
  3. Step 3: Cross multiply
    7,707.29x = 11,561.00 × 6,072.57
  4. Step 4: Simplify right side
    7,707.29x = 70,204,951.41
  5. Step 5: Solve for x
    x = 70,204,951.41/7,707.29
  6. Step 6: Final answer
    x = 9,108.91

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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.