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Finding the Fourth Proportional to 10,690.64, 16,041.08 and 3,768.40

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Solution

The fourth proportional to 10,690.64, 16,041.08 and 3,768.40 is: 5,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.64 : 16,041.08 = 3,768.40 : x
  2. Step 2: Convert to fraction form
    10,690.64/16,041.08 = 3,768.40/x
  3. Step 3: Cross multiply
    10,690.64x = 16,041.08 × 3,768.40
  4. Step 4: Simplify right side
    10,690.64x = 60,449,205.87
  5. Step 5: Solve for x
    x = 60,449,205.87/10,690.64
  6. Step 6: Final answer
    x = 5,654.40

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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.