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Finding the Fourth Proportional to 7,811.98, 10,769.31 and 5,569.96

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Solution

The fourth proportional to 7,811.98, 10,769.31 and 5,569.96 is: 7,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.98 : 10,769.31 = 5,569.96 : x
  2. Step 2: Convert to fraction form
    7,811.98/10,769.31 = 5,569.96/x
  3. Step 3: Cross multiply
    7,811.98x = 10,769.31 × 5,569.96
  4. Step 4: Simplify right side
    7,811.98x = 59,984,572.08
  5. Step 5: Solve for x
    x = 59,984,572.08/7,811.98
  6. Step 6: Final answer
    x = 7,678.54

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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.