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Finding the Fourth Proportional to 7,814.38, 10,783.44 and 4,276.92

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Solution

The fourth proportional to 7,814.38, 10,783.44 and 4,276.92 is: 5,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.38 : 10,783.44 = 4,276.92 : x
  2. Step 2: Convert to fraction form
    7,814.38/10,783.44 = 4,276.92/x
  3. Step 3: Cross multiply
    7,814.38x = 10,783.44 × 4,276.92
  4. Step 4: Simplify right side
    7,814.38x = 46,119,910.20
  5. Step 5: Solve for x
    x = 46,119,910.20/7,814.38
  6. Step 6: Final answer
    x = 5,901.93

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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.