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Finding the Fourth Proportional to 8,119.84, 11,205.16 and 4,582.78

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Solution

The fourth proportional to 8,119.84, 11,205.16 and 4,582.78 is: 6,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.84 : 11,205.16 = 4,582.78 : x
  2. Step 2: Convert to fraction form
    8,119.84/11,205.16 = 4,582.78/x
  3. Step 3: Cross multiply
    8,119.84x = 11,205.16 × 4,582.78
  4. Step 4: Simplify right side
    8,119.84x = 51,350,783.14
  5. Step 5: Solve for x
    x = 51,350,783.14/8,119.84
  6. Step 6: Final answer
    x = 6,324.11

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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.