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Finding the Fourth Proportional to 7,889.86, 11,833.59 and 4,959.22

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Solution

The fourth proportional to 7,889.86, 11,833.59 and 4,959.22 is: 7,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.86 : 11,833.59 = 4,959.22 : x
  2. Step 2: Convert to fraction form
    7,889.86/11,833.59 = 4,959.22/x
  3. Step 3: Cross multiply
    7,889.86x = 11,833.59 × 4,959.22
  4. Step 4: Simplify right side
    7,889.86x = 58,685,376.20
  5. Step 5: Solve for x
    x = 58,685,376.20/7,889.86
  6. Step 6: Final answer
    x = 7,438.08

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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.