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Finding the Fourth Proportional to 10,238.86, 15,358.29 and 2,843.32

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Solution

The fourth proportional to 10,238.86, 15,358.29 and 2,843.32 is: 4,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.86 : 15,358.29 = 2,843.32 : x
  2. Step 2: Convert to fraction form
    10,238.86/15,358.29 = 2,843.32/x
  3. Step 3: Cross multiply
    10,238.86x = 15,358.29 × 2,843.32
  4. Step 4: Simplify right side
    10,238.86x = 43,668,533.12
  5. Step 5: Solve for x
    x = 43,668,533.12/10,238.86
  6. Step 6: Final answer
    x = 4,264.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.