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Finding the Fourth Proportional to 8,119.32, 11,204.46 and 4,582.32

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Solution

The fourth proportional to 8,119.32, 11,204.46 and 4,582.32 is: 6,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.32 : 11,204.46 = 4,582.32 : x
  2. Step 2: Convert to fraction form
    8,119.32/11,204.46 = 4,582.32/x
  3. Step 3: Cross multiply
    8,119.32x = 11,204.46 × 4,582.32
  4. Step 4: Simplify right side
    8,119.32x = 51,342,421.15
  5. Step 5: Solve for x
    x = 51,342,421.15/8,119.32
  6. Step 6: Final answer
    x = 6,323.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.