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Finding the Fourth Proportional to 7,805.84, 11,704.04 and 3,056.33

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Solution

The fourth proportional to 7,805.84, 11,704.04 and 3,056.33 is: 4,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.84 : 11,704.04 = 3,056.33 : x
  2. Step 2: Convert to fraction form
    7,805.84/11,704.04 = 3,056.33/x
  3. Step 3: Cross multiply
    7,805.84x = 11,704.04 × 3,056.33
  4. Step 4: Simplify right side
    7,805.84x = 35,771,451.20
  5. Step 5: Solve for x
    x = 35,771,451.20/7,805.84
  6. Step 6: Final answer
    x = 4,582.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.