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Finding the Fourth Proportional to 7,749.66, 10,696.50 and 4,960.02

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Solution

The fourth proportional to 7,749.66, 10,696.50 and 4,960.02 is: 6,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.66 : 10,696.50 = 4,960.02 : x
  2. Step 2: Convert to fraction form
    7,749.66/10,696.50 = 4,960.02/x
  3. Step 3: Cross multiply
    7,749.66x = 10,696.50 × 4,960.02
  4. Step 4: Simplify right side
    7,749.66x = 53,054,853.93
  5. Step 5: Solve for x
    x = 53,054,853.93/7,749.66
  6. Step 6: Final answer
    x = 6,846.09

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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.