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Finding the Fourth Proportional to 7,346.43, 10,137.51 and 4,159.44

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Solution

The fourth proportional to 7,346.43, 10,137.51 and 4,159.44 is: 5,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.43 : 10,137.51 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    7,346.43/10,137.51 = 4,159.44/x
  3. Step 3: Cross multiply
    7,346.43x = 10,137.51 × 4,159.44
  4. Step 4: Simplify right side
    7,346.43x = 42,166,364.59
  5. Step 5: Solve for x
    x = 42,166,364.59/7,346.43
  6. Step 6: Final answer
    x = 5,739.71

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