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Finding the Fourth Proportional to 7,769.09, 11,649.13 and 5,306.89

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Solution

The fourth proportional to 7,769.09, 11,649.13 and 5,306.89 is: 7,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.09 : 11,649.13 = 5,306.89 : x
  2. Step 2: Convert to fraction form
    7,769.09/11,649.13 = 5,306.89/x
  3. Step 3: Cross multiply
    7,769.09x = 11,649.13 × 5,306.89
  4. Step 4: Simplify right side
    7,769.09x = 61,820,651.51
  5. Step 5: Solve for x
    x = 61,820,651.51/7,769.09
  6. Step 6: Final answer
    x = 7,957.26

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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.