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Finding the Fourth Proportional to 8,055.36, 12,084.48 and 2,859.84

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Solution

The fourth proportional to 8,055.36, 12,084.48 and 2,859.84 is: 4,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.36 : 12,084.48 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    8,055.36/12,084.48 = 2,859.84/x
  3. Step 3: Cross multiply
    8,055.36x = 12,084.48 × 2,859.84
  4. Step 4: Simplify right side
    8,055.36x = 34,559,679.28
  5. Step 5: Solve for x
    x = 34,559,679.28/8,055.36
  6. Step 6: Final answer
    x = 4,290.27

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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.