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Finding the Fourth Proportional to 8,518.42, 12,778 and 2,972.32

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Solution

The fourth proportional to 8,518.42, 12,778 and 2,972.32 is: 4,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.42 : 12,778 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    8,518.42/12,778 = 2,972.32/x
  3. Step 3: Cross multiply
    8,518.42x = 12,778 × 2,972.32
  4. Step 4: Simplify right side
    8,518.42x = 37,980,304.96
  5. Step 5: Solve for x
    x = 37,980,304.96/8,518.42
  6. Step 6: Final answer
    x = 4,458.61

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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.