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Finding the Fourth Proportional to 7,901.41, 11,848.14 and 2,634.55

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Solution

The fourth proportional to 7,901.41, 11,848.14 and 2,634.55 is: 3,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.41 : 11,848.14 = 2,634.55 : x
  2. Step 2: Convert to fraction form
    7,901.41/11,848.14 = 2,634.55/x
  3. Step 3: Cross multiply
    7,901.41x = 11,848.14 × 2,634.55
  4. Step 4: Simplify right side
    7,901.41x = 31,214,517.24
  5. Step 5: Solve for x
    x = 31,214,517.24/7,901.41
  6. Step 6: Final answer
    x = 3,950.50

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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.