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Finding the Fourth Proportional to 7,349.64, 10,141.90 and 4,324.27

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Solution

The fourth proportional to 7,349.64, 10,141.90 and 4,324.27 is: 5,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.64 : 10,141.90 = 4,324.27 : x
  2. Step 2: Convert to fraction form
    7,349.64/10,141.90 = 4,324.27/x
  3. Step 3: Cross multiply
    7,349.64x = 10,141.90 × 4,324.27
  4. Step 4: Simplify right side
    7,349.64x = 43,856,303.38
  5. Step 5: Solve for x
    x = 43,856,303.38/7,349.64
  6. Step 6: Final answer
    x = 5,967.14

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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.