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Finding the Fourth Proportional to 7,343.37, 10,134.05 and 4,156.74

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Solution

The fourth proportional to 7,343.37, 10,134.05 and 4,156.74 is: 5,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.37 : 10,134.05 = 4,156.74 : x
  2. Step 2: Convert to fraction form
    7,343.37/10,134.05 = 4,156.74/x
  3. Step 3: Cross multiply
    7,343.37x = 10,134.05 × 4,156.74
  4. Step 4: Simplify right side
    7,343.37x = 42,124,590.21
  5. Step 5: Solve for x
    x = 42,124,590.21/7,343.37
  6. Step 6: Final answer
    x = 5,736.41

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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.