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Finding the Fourth Proportional to 7,349, 10,141.62 and 4,037

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Solution

The fourth proportional to 7,349, 10,141.62 and 4,037 is: 5,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349 : 10,141.62 = 4,037 : x
  2. Step 2: Convert to fraction form
    7,349/10,141.62 = 4,037/x
  3. Step 3: Cross multiply
    7,349x = 10,141.62 × 4,037
  4. Step 4: Simplify right side
    7,349x = 40,941,719.94
  5. Step 5: Solve for x
    x = 40,941,719.94/7,349
  6. Step 6: Final answer
    x = 5,571.06

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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.