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Finding the Fourth Proportional to 7,696.46, 11,540.08 and 3,739.93

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Solution

The fourth proportional to 7,696.46, 11,540.08 and 3,739.93 is: 5,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.46 : 11,540.08 = 3,739.93 : x
  2. Step 2: Convert to fraction form
    7,696.46/11,540.08 = 3,739.93/x
  3. Step 3: Cross multiply
    7,696.46x = 11,540.08 × 3,739.93
  4. Step 4: Simplify right side
    7,696.46x = 43,159,053.19
  5. Step 5: Solve for x
    x = 43,159,053.19/7,696.46
  6. Step 6: Final answer
    x = 5,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.