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Finding the Fourth Proportional to 7,644.60, 11,466.75 and 3,746.27

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Solution

The fourth proportional to 7,644.60, 11,466.75 and 3,746.27 is: 5,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.60 : 11,466.75 = 3,746.27 : x
  2. Step 2: Convert to fraction form
    7,644.60/11,466.75 = 3,746.27/x
  3. Step 3: Cross multiply
    7,644.60x = 11,466.75 × 3,746.27
  4. Step 4: Simplify right side
    7,644.60x = 42,957,541.52
  5. Step 5: Solve for x
    x = 42,957,541.52/7,644.60
  6. Step 6: Final answer
    x = 5,619.33

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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.