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Finding the Fourth Proportional to 8,338.32, 11,511.06 and 6,445.63

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Solution

The fourth proportional to 8,338.32, 11,511.06 and 6,445.63 is: 8,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.32 : 11,511.06 = 6,445.63 : x
  2. Step 2: Convert to fraction form
    8,338.32/11,511.06 = 6,445.63/x
  3. Step 3: Cross multiply
    8,338.32x = 11,511.06 × 6,445.63
  4. Step 4: Simplify right side
    8,338.32x = 74,195,995.39
  5. Step 5: Solve for x
    x = 74,195,995.39/8,338.32
  6. Step 6: Final answer
    x = 8,898.20

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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.