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Finding the Fourth Proportional to 7,412.82, 10,238.09 and 5,050.86

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Solution

The fourth proportional to 7,412.82, 10,238.09 and 5,050.86 is: 6,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.82 : 10,238.09 = 5,050.86 : x
  2. Step 2: Convert to fraction form
    7,412.82/10,238.09 = 5,050.86/x
  3. Step 3: Cross multiply
    7,412.82x = 10,238.09 × 5,050.86
  4. Step 4: Simplify right side
    7,412.82x = 51,711,159.26
  5. Step 5: Solve for x
    x = 51,711,159.26/7,412.82
  6. Step 6: Final answer
    x = 6,975.91

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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.