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Finding the Fourth Proportional to 11,137.16, 16,706.26 and 6,203.08

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Solution

The fourth proportional to 11,137.16, 16,706.26 and 6,203.08 is: 9,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.16 : 16,706.26 = 6,203.08 : x
  2. Step 2: Convert to fraction form
    11,137.16/16,706.26 = 6,203.08/x
  3. Step 3: Cross multiply
    11,137.16x = 16,706.26 × 6,203.08
  4. Step 4: Simplify right side
    11,137.16x = 103,630,267.28
  5. Step 5: Solve for x
    x = 103,630,267.28/11,137.16
  6. Step 6: Final answer
    x = 9,304.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.