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Finding the Fourth Proportional to 7,711.83, 11,567.52 and 2,165.22

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Solution

The fourth proportional to 7,711.83, 11,567.52 and 2,165.22 is: 3,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.83 : 11,567.52 = 2,165.22 : x
  2. Step 2: Convert to fraction form
    7,711.83/11,567.52 = 2,165.22/x
  3. Step 3: Cross multiply
    7,711.83x = 11,567.52 × 2,165.22
  4. Step 4: Simplify right side
    7,711.83x = 25,046,225.65
  5. Step 5: Solve for x
    x = 25,046,225.65/7,711.83
  6. Step 6: Final answer
    x = 3,247.77

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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.