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Finding the Fourth Proportional to 8,561.13, 12,820.72 and 7,071.23

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Solution

The fourth proportional to 8,561.13, 12,820.72 and 7,071.23 is: 10,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.13 : 12,820.72 = 7,071.23 : x
  2. Step 2: Convert to fraction form
    8,561.13/12,820.72 = 7,071.23/x
  3. Step 3: Cross multiply
    8,561.13x = 12,820.72 × 7,071.23
  4. Step 4: Simplify right side
    8,561.13x = 90,658,259.89
  5. Step 5: Solve for x
    x = 90,658,259.89/8,561.13
  6. Step 6: Final answer
    x = 10,589.52

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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.