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Finding the Fourth Proportional to 27,534.43, 41,303.22 and 7,811.44

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Solution

The fourth proportional to 27,534.43, 41,303.22 and 7,811.44 is: 11,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.43 : 41,303.22 = 7,811.44 : x
  2. Step 2: Convert to fraction form
    27,534.43/41,303.22 = 7,811.44/x
  3. Step 3: Cross multiply
    27,534.43x = 41,303.22 × 7,811.44
  4. Step 4: Simplify right side
    27,534.43x = 322,637,492.29
  5. Step 5: Solve for x
    x = 322,637,492.29/27,534.43
  6. Step 6: Final answer
    x = 11,717.60

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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.