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Finding the Fourth Proportional to 7,884.27, 11,825.91 and 2,953.53

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Solution

The fourth proportional to 7,884.27, 11,825.91 and 2,953.53 is: 4,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.27 : 11,825.91 = 2,953.53 : x
  2. Step 2: Convert to fraction form
    7,884.27/11,825.91 = 2,953.53/x
  3. Step 3: Cross multiply
    7,884.27x = 11,825.91 × 2,953.53
  4. Step 4: Simplify right side
    7,884.27x = 34,928,179.96
  5. Step 5: Solve for x
    x = 34,928,179.96/7,884.27
  6. Step 6: Final answer
    x = 4,430.11

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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.