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Finding the Fourth Proportional to 11,201.90, 15,458.49 and 6,166.01

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Solution

The fourth proportional to 11,201.90, 15,458.49 and 6,166.01 is: 8,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.90 : 15,458.49 = 6,166.01 : x
  2. Step 2: Convert to fraction form
    11,201.90/15,458.49 = 6,166.01/x
  3. Step 3: Cross multiply
    11,201.90x = 15,458.49 × 6,166.01
  4. Step 4: Simplify right side
    11,201.90x = 95,317,126.63
  5. Step 5: Solve for x
    x = 95,317,126.63/11,201.90
  6. Step 6: Final answer
    x = 8,509.02

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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.