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Finding the Fourth Proportional to 8,835.66, 12,193.12 and 4,856.83

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Solution

The fourth proportional to 8,835.66, 12,193.12 and 4,856.83 is: 6,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.66 : 12,193.12 = 4,856.83 : x
  2. Step 2: Convert to fraction form
    8,835.66/12,193.12 = 4,856.83/x
  3. Step 3: Cross multiply
    8,835.66x = 12,193.12 × 4,856.83
  4. Step 4: Simplify right side
    8,835.66x = 59,219,911.01
  5. Step 5: Solve for x
    x = 59,219,911.01/8,835.66
  6. Step 6: Final answer
    x = 6,702.38

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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.