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Finding the Fourth Proportional to 11,442.88, 17,166.56 and 3,652.16

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Solution

The fourth proportional to 11,442.88, 17,166.56 and 3,652.16 is: 5,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.88 : 17,166.56 = 3,652.16 : x
  2. Step 2: Convert to fraction form
    11,442.88/17,166.56 = 3,652.16/x
  3. Step 3: Cross multiply
    11,442.88x = 17,166.56 × 3,652.16
  4. Step 4: Simplify right side
    11,442.88x = 62,695,023.77
  5. Step 5: Solve for x
    x = 62,695,023.77/11,442.88
  6. Step 6: Final answer
    x = 5,478.95

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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.