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Finding the Fourth Proportional to 7,711.81, 11,567.51 and 2,165.54

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Solution

The fourth proportional to 7,711.81, 11,567.51 and 2,165.54 is: 3,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.81 : 11,567.51 = 2,165.54 : x
  2. Step 2: Convert to fraction form
    7,711.81/11,567.51 = 2,165.54/x
  3. Step 3: Cross multiply
    7,711.81x = 11,567.51 × 2,165.54
  4. Step 4: Simplify right side
    7,711.81x = 25,049,845.06
  5. Step 5: Solve for x
    x = 25,049,845.06/7,711.81
  6. Step 6: Final answer
    x = 3,248.25

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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.