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Finding the Fourth Proportional to 7,810.76, 11,716.11 and 1,967.36

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Solution

The fourth proportional to 7,810.76, 11,716.11 and 1,967.36 is: 2,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.76 : 11,716.11 = 1,967.36 : x
  2. Step 2: Convert to fraction form
    7,810.76/11,716.11 = 1,967.36/x
  3. Step 3: Cross multiply
    7,810.76x = 11,716.11 × 1,967.36
  4. Step 4: Simplify right side
    7,810.76x = 23,049,747.59
  5. Step 5: Solve for x
    x = 23,049,747.59/7,810.76
  6. Step 6: Final answer
    x = 2,951.03

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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.