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Finding the Fourth Proportional to 7,884.36, 11,825.66 and 2,041.48

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Solution

The fourth proportional to 7,884.36, 11,825.66 and 2,041.48 is: 3,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.36 : 11,825.66 = 2,041.48 : x
  2. Step 2: Convert to fraction form
    7,884.36/11,825.66 = 2,041.48/x
  3. Step 3: Cross multiply
    7,884.36x = 11,825.66 × 2,041.48
  4. Step 4: Simplify right side
    7,884.36x = 24,141,848.38
  5. Step 5: Solve for x
    x = 24,141,848.38/7,884.36
  6. Step 6: Final answer
    x = 3,061.99

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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.