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Finding the Fourth Proportional to 8,495.74, 11,710.38 and 6,338.62

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Solution

The fourth proportional to 8,495.74, 11,710.38 and 6,338.62 is: 8,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.74 : 11,710.38 = 6,338.62 : x
  2. Step 2: Convert to fraction form
    8,495.74/11,710.38 = 6,338.62/x
  3. Step 3: Cross multiply
    8,495.74x = 11,710.38 × 6,338.62
  4. Step 4: Simplify right side
    8,495.74x = 74,227,648.88
  5. Step 5: Solve for x
    x = 74,227,648.88/8,495.74
  6. Step 6: Final answer
    x = 8,737.04

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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.