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Finding the Fourth Proportional to 11,297.40, 16,953.42 and 8,530.44

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Solution

The fourth proportional to 11,297.40, 16,953.42 and 8,530.44 is: 12,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.40 : 16,953.42 = 8,530.44 : x
  2. Step 2: Convert to fraction form
    11,297.40/16,953.42 = 8,530.44/x
  3. Step 3: Cross multiply
    11,297.40x = 16,953.42 × 8,530.44
  4. Step 4: Simplify right side
    11,297.40x = 144,620,132.10
  5. Step 5: Solve for x
    x = 144,620,132.10/11,297.40
  6. Step 6: Final answer
    x = 12,801.19

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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.