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Finding the Fourth Proportional to 8,835.70, 12,193.38 and 4,856.78

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Solution

The fourth proportional to 8,835.70, 12,193.38 and 4,856.78 is: 6,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.70 : 12,193.38 = 4,856.78 : x
  2. Step 2: Convert to fraction form
    8,835.70/12,193.38 = 4,856.78/x
  3. Step 3: Cross multiply
    8,835.70x = 12,193.38 × 4,856.78
  4. Step 4: Simplify right side
    8,835.70x = 59,220,564.12
  5. Step 5: Solve for x
    x = 59,220,564.12/8,835.70
  6. Step 6: Final answer
    x = 6,702.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.