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Finding the Fourth Proportional to 8,119.12, 11,203.76 and 4,582.68

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Solution

The fourth proportional to 8,119.12, 11,203.76 and 4,582.68 is: 6,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.12 : 11,203.76 = 4,582.68 : x
  2. Step 2: Convert to fraction form
    8,119.12/11,203.76 = 4,582.68/x
  3. Step 3: Cross multiply
    8,119.12x = 11,203.76 × 4,582.68
  4. Step 4: Simplify right side
    8,119.12x = 51,343,246.88
  5. Step 5: Solve for x
    x = 51,343,246.88/8,119.12
  6. Step 6: Final answer
    x = 6,323.75

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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.