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Finding the Fourth Proportional to 11,297.40, 16,946.40 and 3,506.40

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Solution

The fourth proportional to 11,297.40, 16,946.40 and 3,506.40 is: 5,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.40 : 16,946.40 = 3,506.40 : x
  2. Step 2: Convert to fraction form
    11,297.40/16,946.40 = 3,506.40/x
  3. Step 3: Cross multiply
    11,297.40x = 16,946.40 × 3,506.40
  4. Step 4: Simplify right side
    11,297.40x = 59,420,856.96
  5. Step 5: Solve for x
    x = 59,420,856.96/11,297.40
  6. Step 6: Final answer
    x = 5,259.69

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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.