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Finding the Fourth Proportional to 7,761.69, 10,709.51 and 5,076.84

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Solution

The fourth proportional to 7,761.69, 10,709.51 and 5,076.84 is: 7,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.69 : 10,709.51 = 5,076.84 : x
  2. Step 2: Convert to fraction form
    7,761.69/10,709.51 = 5,076.84/x
  3. Step 3: Cross multiply
    7,761.69x = 10,709.51 × 5,076.84
  4. Step 4: Simplify right side
    7,761.69x = 54,370,456.06
  5. Step 5: Solve for x
    x = 54,370,456.06/7,761.69
  6. Step 6: Final answer
    x = 7,004.98

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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.