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Finding the Fourth Proportional to 7,495.33, 10,343.28 and 4,138.07

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Solution

The fourth proportional to 7,495.33, 10,343.28 and 4,138.07 is: 5,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.33 : 10,343.28 = 4,138.07 : x
  2. Step 2: Convert to fraction form
    7,495.33/10,343.28 = 4,138.07/x
  3. Step 3: Cross multiply
    7,495.33x = 10,343.28 × 4,138.07
  4. Step 4: Simplify right side
    7,495.33x = 42,801,252.87
  5. Step 5: Solve for x
    x = 42,801,252.87/7,495.33
  6. Step 6: Final answer
    x = 5,710.39

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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.