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Finding the Fourth Proportional to 8,014.32, 11,039.20 and 5,652.32

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Solution

The fourth proportional to 8,014.32, 11,039.20 and 5,652.32 is: 7,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.32 : 11,039.20 = 5,652.32 : x
  2. Step 2: Convert to fraction form
    8,014.32/11,039.20 = 5,652.32/x
  3. Step 3: Cross multiply
    8,014.32x = 11,039.20 × 5,652.32
  4. Step 4: Simplify right side
    8,014.32x = 62,397,090.94
  5. Step 5: Solve for x
    x = 62,397,090.94/8,014.32
  6. Step 6: Final answer
    x = 7,785.70

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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.