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Finding the Fourth Proportional to 10,909.56, 15,053.56 and 6,129.32

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Solution

The fourth proportional to 10,909.56, 15,053.56 and 6,129.32 is: 8,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.56 : 15,053.56 = 6,129.32 : x
  2. Step 2: Convert to fraction form
    10,909.56/15,053.56 = 6,129.32/x
  3. Step 3: Cross multiply
    10,909.56x = 15,053.56 × 6,129.32
  4. Step 4: Simplify right side
    10,909.56x = 92,268,086.38
  5. Step 5: Solve for x
    x = 92,268,086.38/10,909.56
  6. Step 6: Final answer
    x = 8,457.54

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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.