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Finding the Fourth Proportional to 8,627.61, 12,941.13 and 2,784

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Solution

The fourth proportional to 8,627.61, 12,941.13 and 2,784 is: 4,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.61 : 12,941.13 = 2,784 : x
  2. Step 2: Convert to fraction form
    8,627.61/12,941.13 = 2,784/x
  3. Step 3: Cross multiply
    8,627.61x = 12,941.13 × 2,784
  4. Step 4: Simplify right side
    8,627.61x = 36,028,105.92
  5. Step 5: Solve for x
    x = 36,028,105.92/8,627.61
  6. Step 6: Final answer
    x = 4,175.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.