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Finding the Fourth Proportional to 10,677.84, 16,006.04 and 3,653.05

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Solution

The fourth proportional to 10,677.84, 16,006.04 and 3,653.05 is: 5,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.84 : 16,006.04 = 3,653.05 : x
  2. Step 2: Convert to fraction form
    10,677.84/16,006.04 = 3,653.05/x
  3. Step 3: Cross multiply
    10,677.84x = 16,006.04 × 3,653.05
  4. Step 4: Simplify right side
    10,677.84x = 58,470,864.42
  5. Step 5: Solve for x
    x = 58,470,864.42/10,677.84
  6. Step 6: Final answer
    x = 5,475.91

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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.