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Finding the Fourth Proportional to 8,211.04, 12,316.48 and 2,055.04

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Solution

The fourth proportional to 8,211.04, 12,316.48 and 2,055.04 is: 3,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.04 : 12,316.48 = 2,055.04 : x
  2. Step 2: Convert to fraction form
    8,211.04/12,316.48 = 2,055.04/x
  3. Step 3: Cross multiply
    8,211.04x = 12,316.48 × 2,055.04
  4. Step 4: Simplify right side
    8,211.04x = 25,310,859.06
  5. Step 5: Solve for x
    x = 25,310,859.06/8,211.04
  6. Step 6: Final answer
    x = 3,082.54

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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.