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Finding the Fourth Proportional to 11,199.90, 15,455.52 and 6,164.11

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Solution

The fourth proportional to 11,199.90, 15,455.52 and 6,164.11 is: 8,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.90 : 15,455.52 = 6,164.11 : x
  2. Step 2: Convert to fraction form
    11,199.90/15,455.52 = 6,164.11/x
  3. Step 3: Cross multiply
    11,199.90x = 15,455.52 × 6,164.11
  4. Step 4: Simplify right side
    11,199.90x = 95,269,525.39
  5. Step 5: Solve for x
    x = 95,269,525.39/11,199.90
  6. Step 6: Final answer
    x = 8,506.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.