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Finding the Fourth Proportional to 7,851.67, 11,776.29 and 5,097.87

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Solution

The fourth proportional to 7,851.67, 11,776.29 and 5,097.87 is: 7,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.67 : 11,776.29 = 5,097.87 : x
  2. Step 2: Convert to fraction form
    7,851.67/11,776.29 = 5,097.87/x
  3. Step 3: Cross multiply
    7,851.67x = 11,776.29 × 5,097.87
  4. Step 4: Simplify right side
    7,851.67x = 60,033,976.39
  5. Step 5: Solve for x
    x = 60,033,976.39/7,851.67
  6. Step 6: Final answer
    x = 7,646.02

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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.