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Finding the Fourth Proportional to 8,410.32, 12,615.60 and 2,864.94

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Solution

The fourth proportional to 8,410.32, 12,615.60 and 2,864.94 is: 4,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.32 : 12,615.60 = 2,864.94 : x
  2. Step 2: Convert to fraction form
    8,410.32/12,615.60 = 2,864.94/x
  3. Step 3: Cross multiply
    8,410.32x = 12,615.60 × 2,864.94
  4. Step 4: Simplify right side
    8,410.32x = 36,142,937.06
  5. Step 5: Solve for x
    x = 36,142,937.06/8,410.32
  6. Step 6: Final answer
    x = 4,297.45

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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.