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Finding the Fourth Proportional to 11,259.96, 15,538.77 and 6,224.19

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Solution

The fourth proportional to 11,259.96, 15,538.77 and 6,224.19 is: 8,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.96 : 15,538.77 = 6,224.19 : x
  2. Step 2: Convert to fraction form
    11,259.96/15,538.77 = 6,224.19/x
  3. Step 3: Cross multiply
    11,259.96x = 15,538.77 × 6,224.19
  4. Step 4: Simplify right side
    11,259.96x = 96,716,256.85
  5. Step 5: Solve for x
    x = 96,716,256.85/11,259.96
  6. Step 6: Final answer
    x = 8,589.40

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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.