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Finding the Fourth Proportional to 11,137.90, 16,708.06 and 3,742.06

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Solution

The fourth proportional to 11,137.90, 16,708.06 and 3,742.06 is: 5,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.90 : 16,708.06 = 3,742.06 : x
  2. Step 2: Convert to fraction form
    11,137.90/16,708.06 = 3,742.06/x
  3. Step 3: Cross multiply
    11,137.90x = 16,708.06 × 3,742.06
  4. Step 4: Simplify right side
    11,137.90x = 62,522,563.00
  5. Step 5: Solve for x
    x = 62,522,563.00/11,137.90
  6. Step 6: Final answer
    x = 5,613.50

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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.