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Finding the Fourth Proportional to 7,740.53, 10,687.32 and 6,837.38

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Solution

The fourth proportional to 7,740.53, 10,687.32 and 6,837.38 is: 9,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.53 : 10,687.32 = 6,837.38 : x
  2. Step 2: Convert to fraction form
    7,740.53/10,687.32 = 6,837.38/x
  3. Step 3: Cross multiply
    7,740.53x = 10,687.32 × 6,837.38
  4. Step 4: Simplify right side
    7,740.53x = 73,073,214.59
  5. Step 5: Solve for x
    x = 73,073,214.59/7,740.53
  6. Step 6: Final answer
    x = 9,440.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.