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Finding the Fourth Proportional to 7,842.47, 11,767.74 and 5,211.80

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Solution

The fourth proportional to 7,842.47, 11,767.74 and 5,211.80 is: 7,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.47 : 11,767.74 = 5,211.80 : x
  2. Step 2: Convert to fraction form
    7,842.47/11,767.74 = 5,211.80/x
  3. Step 3: Cross multiply
    7,842.47x = 11,767.74 × 5,211.80
  4. Step 4: Simplify right side
    7,842.47x = 61,331,048.49
  5. Step 5: Solve for x
    x = 61,331,048.49/7,842.47
  6. Step 6: Final answer
    x = 7,820.37

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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.