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Finding the Fourth Proportional to 7,848.37, 11,774.22 and 3,901.78

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Solution

The fourth proportional to 7,848.37, 11,774.22 and 3,901.78 is: 5,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.37 : 11,774.22 = 3,901.78 : x
  2. Step 2: Convert to fraction form
    7,848.37/11,774.22 = 3,901.78/x
  3. Step 3: Cross multiply
    7,848.37x = 11,774.22 × 3,901.78
  4. Step 4: Simplify right side
    7,848.37x = 45,940,416.11
  5. Step 5: Solve for x
    x = 45,940,416.11/7,848.37
  6. Step 6: Final answer
    x = 5,853.50

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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.