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Finding the Fourth Proportional to 8,410.74, 12,627.27 and 7,186.02

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Solution

The fourth proportional to 8,410.74, 12,627.27 and 7,186.02 is: 10,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.74 : 12,627.27 = 7,186.02 : x
  2. Step 2: Convert to fraction form
    8,410.74/12,627.27 = 7,186.02/x
  3. Step 3: Cross multiply
    8,410.74x = 12,627.27 × 7,186.02
  4. Step 4: Simplify right side
    8,410.74x = 90,739,814.77
  5. Step 5: Solve for x
    x = 90,739,814.77/8,410.74
  6. Step 6: Final answer
    x = 10,788.56

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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.