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Finding the Fourth Proportional to 10,972.84, 16,454.94 and 4,045

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Solution

The fourth proportional to 10,972.84, 16,454.94 and 4,045 is: 6,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.84 : 16,454.94 = 4,045 : x
  2. Step 2: Convert to fraction form
    10,972.84/16,454.94 = 4,045/x
  3. Step 3: Cross multiply
    10,972.84x = 16,454.94 × 4,045
  4. Step 4: Simplify right side
    10,972.84x = 66,560,232.30
  5. Step 5: Solve for x
    x = 66,560,232.30/10,972.84
  6. Step 6: Final answer
    x = 6,065.91

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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.