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Finding the Fourth Proportional to 10,620.64, 14,654.82 and 6,144.04

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Solution

The fourth proportional to 10,620.64, 14,654.82 and 6,144.04 is: 8,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.64 : 14,654.82 = 6,144.04 : x
  2. Step 2: Convert to fraction form
    10,620.64/14,654.82 = 6,144.04/x
  3. Step 3: Cross multiply
    10,620.64x = 14,654.82 × 6,144.04
  4. Step 4: Simplify right side
    10,620.64x = 90,039,800.27
  5. Step 5: Solve for x
    x = 90,039,800.27/10,620.64
  6. Step 6: Final answer
    x = 8,477.81

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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.