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Finding the Fourth Proportional to 8,577, 12,865.12 and 3,314.52

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Solution

The fourth proportional to 8,577, 12,865.12 and 3,314.52 is: 4,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 12,865.12 = 3,314.52 : x
  2. Step 2: Convert to fraction form
    8,577/12,865.12 = 3,314.52/x
  3. Step 3: Cross multiply
    8,577x = 12,865.12 × 3,314.52
  4. Step 4: Simplify right side
    8,577x = 42,641,697.54
  5. Step 5: Solve for x
    x = 42,641,697.54/8,577
  6. Step 6: Final answer
    x = 4,971.63

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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.