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Finding the Fourth Proportional to 7,749.68, 10,698.36 and 5,278.64

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Solution

The fourth proportional to 7,749.68, 10,698.36 and 5,278.64 is: 7,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.68 : 10,698.36 = 5,278.64 : x
  2. Step 2: Convert to fraction form
    7,749.68/10,698.36 = 5,278.64/x
  3. Step 3: Cross multiply
    7,749.68x = 10,698.36 × 5,278.64
  4. Step 4: Simplify right side
    7,749.68x = 56,472,791.03
  5. Step 5: Solve for x
    x = 56,472,791.03/7,749.68
  6. Step 6: Final answer
    x = 7,287.11

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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.