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Finding the Fourth Proportional to 10,745.84, 16,116.86 and 2,848.44

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Solution

The fourth proportional to 10,745.84, 16,116.86 and 2,848.44 is: 4,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.84 : 16,116.86 = 2,848.44 : x
  2. Step 2: Convert to fraction form
    10,745.84/16,116.86 = 2,848.44/x
  3. Step 3: Cross multiply
    10,745.84x = 16,116.86 × 2,848.44
  4. Step 4: Simplify right side
    10,745.84x = 45,907,908.70
  5. Step 5: Solve for x
    x = 45,907,908.70/10,745.84
  6. Step 6: Final answer
    x = 4,272.16

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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.