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Finding the Fourth Proportional to 7,750.54, 10,697.97 and 5,767.66

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Solution

The fourth proportional to 7,750.54, 10,697.97 and 5,767.66 is: 7,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.54 : 10,697.97 = 5,767.66 : x
  2. Step 2: Convert to fraction form
    7,750.54/10,697.97 = 5,767.66/x
  3. Step 3: Cross multiply
    7,750.54x = 10,697.97 × 5,767.66
  4. Step 4: Simplify right side
    7,750.54x = 61,702,253.65
  5. Step 5: Solve for x
    x = 61,702,253.65/7,750.54
  6. Step 6: Final answer
    x = 7,961.03

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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.