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Finding the Fourth Proportional to 7,757.18, 10,705.20 and 4,445.82

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Solution

The fourth proportional to 7,757.18, 10,705.20 and 4,445.82 is: 6,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.18 : 10,705.20 = 4,445.82 : x
  2. Step 2: Convert to fraction form
    7,757.18/10,705.20 = 4,445.82/x
  3. Step 3: Cross multiply
    7,757.18x = 10,705.20 × 4,445.82
  4. Step 4: Simplify right side
    7,757.18x = 47,593,392.26
  5. Step 5: Solve for x
    x = 47,593,392.26/7,757.18
  6. Step 6: Final answer
    x = 6,135.40

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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.