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Finding the Fourth Proportional to 8,263.62, 11,403.46 and 4,486.64

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Solution

The fourth proportional to 8,263.62, 11,403.46 and 4,486.64 is: 6,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.62 : 11,403.46 = 4,486.64 : x
  2. Step 2: Convert to fraction form
    8,263.62/11,403.46 = 4,486.64/x
  3. Step 3: Cross multiply
    8,263.62x = 11,403.46 × 4,486.64
  4. Step 4: Simplify right side
    8,263.62x = 51,163,219.77
  5. Step 5: Solve for x
    x = 51,163,219.77/8,263.62
  6. Step 6: Final answer
    x = 6,191.38

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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.