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Finding the Fourth Proportional to 7,211.93, 10,820.09 and 3,513.62

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Solution

The fourth proportional to 7,211.93, 10,820.09 and 3,513.62 is: 5,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.93 : 10,820.09 = 3,513.62 : x
  2. Step 2: Convert to fraction form
    7,211.93/10,820.09 = 3,513.62/x
  3. Step 3: Cross multiply
    7,211.93x = 10,820.09 × 3,513.62
  4. Step 4: Simplify right side
    7,211.93x = 38,017,720.46
  5. Step 5: Solve for x
    x = 38,017,720.46/7,211.93
  6. Step 6: Final answer
    x = 5,271.51

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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.