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Finding the Fourth Proportional to 8,441.18, 11,651.10 and 4,856.55

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Solution

The fourth proportional to 8,441.18, 11,651.10 and 4,856.55 is: 6,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.18 : 11,651.10 = 4,856.55 : x
  2. Step 2: Convert to fraction form
    8,441.18/11,651.10 = 4,856.55/x
  3. Step 3: Cross multiply
    8,441.18x = 11,651.10 × 4,856.55
  4. Step 4: Simplify right side
    8,441.18x = 56,584,149.71
  5. Step 5: Solve for x
    x = 56,584,149.71/8,441.18
  6. Step 6: Final answer
    x = 6,703.34

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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.