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Finding the Fourth Proportional to 7,873.38, 11,798.53 and 4,164.39

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Solution

The fourth proportional to 7,873.38, 11,798.53 and 4,164.39 is: 6,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.38 : 11,798.53 = 4,164.39 : x
  2. Step 2: Convert to fraction form
    7,873.38/11,798.53 = 4,164.39/x
  3. Step 3: Cross multiply
    7,873.38x = 11,798.53 × 4,164.39
  4. Step 4: Simplify right side
    7,873.38x = 49,133,669.94
  5. Step 5: Solve for x
    x = 49,133,669.94/7,873.38
  6. Step 6: Final answer
    x = 6,240.48

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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.