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Finding the Fourth Proportional to 7,654.64, 11,480.42 and 2,106.54

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Solution

The fourth proportional to 7,654.64, 11,480.42 and 2,106.54 is: 3,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.64 : 11,480.42 = 2,106.54 : x
  2. Step 2: Convert to fraction form
    7,654.64/11,480.42 = 2,106.54/x
  3. Step 3: Cross multiply
    7,654.64x = 11,480.42 × 2,106.54
  4. Step 4: Simplify right side
    7,654.64x = 24,183,963.95
  5. Step 5: Solve for x
    x = 24,183,963.95/7,654.64
  6. Step 6: Final answer
    x = 3,159.39

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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.