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Finding the Fourth Proportional to 10,849.84, 16,274.72 and 4,531.84

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Solution

The fourth proportional to 10,849.84, 16,274.72 and 4,531.84 is: 6,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.84 : 16,274.72 = 4,531.84 : x
  2. Step 2: Convert to fraction form
    10,849.84/16,274.72 = 4,531.84/x
  3. Step 3: Cross multiply
    10,849.84x = 16,274.72 × 4,531.84
  4. Step 4: Simplify right side
    10,849.84x = 73,754,427.08
  5. Step 5: Solve for x
    x = 73,754,427.08/10,849.84
  6. Step 6: Final answer
    x = 6,797.74

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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.