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Finding the Fourth Proportional to 11,297.88, 16,943.72 and 4,722.98

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Solution

The fourth proportional to 11,297.88, 16,943.72 and 4,722.98 is: 7,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.88 : 16,943.72 = 4,722.98 : x
  2. Step 2: Convert to fraction form
    11,297.88/16,943.72 = 4,722.98/x
  3. Step 3: Cross multiply
    11,297.88x = 16,943.72 × 4,722.98
  4. Step 4: Simplify right side
    11,297.88x = 80,024,742.35
  5. Step 5: Solve for x
    x = 80,024,742.35/11,297.88
  6. Step 6: Final answer
    x = 7,083.16

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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.