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Finding the Fourth Proportional to 7,807.09, 11,707.80 and 2,611.75

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Solution

The fourth proportional to 7,807.09, 11,707.80 and 2,611.75 is: 3,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.09 : 11,707.80 = 2,611.75 : x
  2. Step 2: Convert to fraction form
    7,807.09/11,707.80 = 2,611.75/x
  3. Step 3: Cross multiply
    7,807.09x = 11,707.80 × 2,611.75
  4. Step 4: Simplify right side
    7,807.09x = 30,577,846.65
  5. Step 5: Solve for x
    x = 30,577,846.65/7,807.09
  6. Step 6: Final answer
    x = 3,916.68

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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.