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Finding the Fourth Proportional to 7,757.47, 10,705.06 and 4,220.66

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Solution

The fourth proportional to 7,757.47, 10,705.06 and 4,220.66 is: 5,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.47 : 10,705.06 = 4,220.66 : x
  2. Step 2: Convert to fraction form
    7,757.47/10,705.06 = 4,220.66/x
  3. Step 3: Cross multiply
    7,757.47x = 10,705.06 × 4,220.66
  4. Step 4: Simplify right side
    7,757.47x = 45,182,390.36
  5. Step 5: Solve for x
    x = 45,182,390.36/7,757.47
  6. Step 6: Final answer
    x = 5,824.37

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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.