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Finding the Fourth Proportional to 11,064.74, 15,267.60 and 6,348.11

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Solution

The fourth proportional to 11,064.74, 15,267.60 and 6,348.11 is: 8,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.74 : 15,267.60 = 6,348.11 : x
  2. Step 2: Convert to fraction form
    11,064.74/15,267.60 = 6,348.11/x
  3. Step 3: Cross multiply
    11,064.74x = 15,267.60 × 6,348.11
  4. Step 4: Simplify right side
    11,064.74x = 96,920,327.90
  5. Step 5: Solve for x
    x = 96,920,327.90/11,064.74
  6. Step 6: Final answer
    x = 8,759.39

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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.