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Finding the Fourth Proportional to 7,776.50, 10,731.58 and 4,239.70

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Solution

The fourth proportional to 7,776.50, 10,731.58 and 4,239.70 is: 5,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.50 : 10,731.58 = 4,239.70 : x
  2. Step 2: Convert to fraction form
    7,776.50/10,731.58 = 4,239.70/x
  3. Step 3: Cross multiply
    7,776.50x = 10,731.58 × 4,239.70
  4. Step 4: Simplify right side
    7,776.50x = 45,498,642.30
  5. Step 5: Solve for x
    x = 45,498,642.30/7,776.50
  6. Step 6: Final answer
    x = 5,850.79

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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.