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Finding the Fourth Proportional to 8,627.01, 12,943.23 and 2,784.07

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Solution

The fourth proportional to 8,627.01, 12,943.23 and 2,784.07 is: 4,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.01 : 12,943.23 = 2,784.07 : x
  2. Step 2: Convert to fraction form
    8,627.01/12,943.23 = 2,784.07/x
  3. Step 3: Cross multiply
    8,627.01x = 12,943.23 × 2,784.07
  4. Step 4: Simplify right side
    8,627.01x = 36,034,858.35
  5. Step 5: Solve for x
    x = 36,034,858.35/8,627.01
  6. Step 6: Final answer
    x = 4,176.98

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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.