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Finding the Fourth Proportional to 10,685.64, 16,030.86 and 3,290.76

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Solution

The fourth proportional to 10,685.64, 16,030.86 and 3,290.76 is: 4,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.64 : 16,030.86 = 3,290.76 : x
  2. Step 2: Convert to fraction form
    10,685.64/16,030.86 = 3,290.76/x
  3. Step 3: Cross multiply
    10,685.64x = 16,030.86 × 3,290.76
  4. Step 4: Simplify right side
    10,685.64x = 52,753,712.85
  5. Step 5: Solve for x
    x = 52,753,712.85/10,685.64
  6. Step 6: Final answer
    x = 4,936.88

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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.