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Finding the Fourth Proportional to 7,891.66, 11,835.44 and 2,343.74

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Solution

The fourth proportional to 7,891.66, 11,835.44 and 2,343.74 is: 3,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.66 : 11,835.44 = 2,343.74 : x
  2. Step 2: Convert to fraction form
    7,891.66/11,835.44 = 2,343.74/x
  3. Step 3: Cross multiply
    7,891.66x = 11,835.44 × 2,343.74
  4. Step 4: Simplify right side
    7,891.66x = 27,739,182.43
  5. Step 5: Solve for x
    x = 27,739,182.43/7,891.66
  6. Step 6: Final answer
    x = 3,515.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.