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Finding the Fourth Proportional to 11,201.84, 15,458.60 and 6,166.57

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Solution

The fourth proportional to 11,201.84, 15,458.60 and 6,166.57 is: 8,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.84 : 15,458.60 = 6,166.57 : x
  2. Step 2: Convert to fraction form
    11,201.84/15,458.60 = 6,166.57/x
  3. Step 3: Cross multiply
    11,201.84x = 15,458.60 × 6,166.57
  4. Step 4: Simplify right side
    11,201.84x = 95,326,430.88
  5. Step 5: Solve for x
    x = 95,326,430.88/11,201.84
  6. Step 6: Final answer
    x = 8,509.89

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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.