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Finding the Fourth Proportional to 10,909.75, 15,054.20 and 6,129.05

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Solution

The fourth proportional to 10,909.75, 15,054.20 and 6,129.05 is: 8,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.75 : 15,054.20 = 6,129.05 : x
  2. Step 2: Convert to fraction form
    10,909.75/15,054.20 = 6,129.05/x
  3. Step 3: Cross multiply
    10,909.75x = 15,054.20 × 6,129.05
  4. Step 4: Simplify right side
    10,909.75x = 92,268,044.24
  5. Step 5: Solve for x
    x = 92,268,044.24/10,909.75
  6. Step 6: Final answer
    x = 8,457.39

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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.