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Finding the Fourth Proportional to 11,039.24, 15,234.81 and 6,259.38

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Solution

The fourth proportional to 11,039.24, 15,234.81 and 6,259.38 is: 8,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.24 : 15,234.81 = 6,259.38 : x
  2. Step 2: Convert to fraction form
    11,039.24/15,234.81 = 6,259.38/x
  3. Step 3: Cross multiply
    11,039.24x = 15,234.81 × 6,259.38
  4. Step 4: Simplify right side
    11,039.24x = 95,360,465.02
  5. Step 5: Solve for x
    x = 95,360,465.02/11,039.24
  6. Step 6: Final answer
    x = 8,638.32

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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.