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Finding the Fourth Proportional to 7,757.71, 10,705.88 and 4,400.66

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Solution

The fourth proportional to 7,757.71, 10,705.88 and 4,400.66 is: 6,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.71 : 10,705.88 = 4,400.66 : x
  2. Step 2: Convert to fraction form
    7,757.71/10,705.88 = 4,400.66/x
  3. Step 3: Cross multiply
    7,757.71x = 10,705.88 × 4,400.66
  4. Step 4: Simplify right side
    7,757.71x = 47,112,937.88
  5. Step 5: Solve for x
    x = 47,112,937.88/7,757.71
  6. Step 6: Final answer
    x = 6,073.05

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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.