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Finding the Fourth Proportional to 7,757.60, 10,705.32 and 4,220.82

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Solution

The fourth proportional to 7,757.60, 10,705.32 and 4,220.82 is: 5,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.60 : 10,705.32 = 4,220.82 : x
  2. Step 2: Convert to fraction form
    7,757.60/10,705.32 = 4,220.82/x
  3. Step 3: Cross multiply
    7,757.60x = 10,705.32 × 4,220.82
  4. Step 4: Simplify right side
    7,757.60x = 45,185,228.76
  5. Step 5: Solve for x
    x = 45,185,228.76/7,757.60
  6. Step 6: Final answer
    x = 5,824.64

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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.