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Finding the Fourth Proportional to 7,769.31, 10,721.78 and 4,412.22

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Solution

The fourth proportional to 7,769.31, 10,721.78 and 4,412.22 is: 6,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.31 : 10,721.78 = 4,412.22 : x
  2. Step 2: Convert to fraction form
    7,769.31/10,721.78 = 4,412.22/x
  3. Step 3: Cross multiply
    7,769.31x = 10,721.78 × 4,412.22
  4. Step 4: Simplify right side
    7,769.31x = 47,306,852.15
  5. Step 5: Solve for x
    x = 47,306,852.15/7,769.31
  6. Step 6: Final answer
    x = 6,088.94

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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.