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Finding the Fourth Proportional to 7,345.92, 10,137.12 and 4,201.86

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Solution

The fourth proportional to 7,345.92, 10,137.12 and 4,201.86 is: 5,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.92 : 10,137.12 = 4,201.86 : x
  2. Step 2: Convert to fraction form
    7,345.92/10,137.12 = 4,201.86/x
  3. Step 3: Cross multiply
    7,345.92x = 10,137.12 × 4,201.86
  4. Step 4: Simplify right side
    7,345.92x = 42,594,759.04
  5. Step 5: Solve for x
    x = 42,594,759.04/7,345.92
  6. Step 6: Final answer
    x = 5,798.42

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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.