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Finding the Fourth Proportional to 27,136.22, 40,698.92 and 7,410.08

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Solution

The fourth proportional to 27,136.22, 40,698.92 and 7,410.08 is: 11,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.22 : 40,698.92 = 7,410.08 : x
  2. Step 2: Convert to fraction form
    27,136.22/40,698.92 = 7,410.08/x
  3. Step 3: Cross multiply
    27,136.22x = 40,698.92 × 7,410.08
  4. Step 4: Simplify right side
    27,136.22x = 301,582,373.39
  5. Step 5: Solve for x
    x = 301,582,373.39/27,136.22
  6. Step 6: Final answer
    x = 11,113.65

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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.