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Finding the Fourth Proportional to 8,411.04, 12,618.18 and 2,864.70

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Solution

The fourth proportional to 8,411.04, 12,618.18 and 2,864.70 is: 4,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.04 : 12,618.18 = 2,864.70 : x
  2. Step 2: Convert to fraction form
    8,411.04/12,618.18 = 2,864.70/x
  3. Step 3: Cross multiply
    8,411.04x = 12,618.18 × 2,864.70
  4. Step 4: Simplify right side
    8,411.04x = 36,147,300.25
  5. Step 5: Solve for x
    x = 36,147,300.25/8,411.04
  6. Step 6: Final answer
    x = 4,297.60

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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.