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Finding the Fourth Proportional to 8,726, 13,091.16 and 2,570

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Solution

The fourth proportional to 8,726, 13,091.16 and 2,570 is: 3,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726 : 13,091.16 = 2,570 : x
  2. Step 2: Convert to fraction form
    8,726/13,091.16 = 2,570/x
  3. Step 3: Cross multiply
    8,726x = 13,091.16 × 2,570
  4. Step 4: Simplify right side
    8,726x = 33,644,281.20
  5. Step 5: Solve for x
    x = 33,644,281.20/8,726
  6. Step 6: Final answer
    x = 3,855.64

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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.