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Finding the Fourth Proportional to 10,909.86, 15,064.48 and 8,893.59

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Solution

The fourth proportional to 10,909.86, 15,064.48 and 8,893.59 is: 12,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.86 : 15,064.48 = 8,893.59 : x
  2. Step 2: Convert to fraction form
    10,909.86/15,064.48 = 8,893.59/x
  3. Step 3: Cross multiply
    10,909.86x = 15,064.48 × 8,893.59
  4. Step 4: Simplify right side
    10,909.86x = 133,977,308.68
  5. Step 5: Solve for x
    x = 133,977,308.68/10,909.86
  6. Step 6: Final answer
    x = 12,280.39

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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.