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Finding the Fourth Proportional to 11,625.27, 16,031.84 and 7,849.05

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Solution

The fourth proportional to 11,625.27, 16,031.84 and 7,849.05 is: 10,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.27 : 16,031.84 = 7,849.05 : x
  2. Step 2: Convert to fraction form
    11,625.27/16,031.84 = 7,849.05/x
  3. Step 3: Cross multiply
    11,625.27x = 16,031.84 × 7,849.05
  4. Step 4: Simplify right side
    11,625.27x = 125,834,674.51
  5. Step 5: Solve for x
    x = 125,834,674.51/11,625.27
  6. Step 6: Final answer
    x = 10,824.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.