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Finding the Fourth Proportional to 6,742.58, 10,114.95 and 2,124.50

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Solution

The fourth proportional to 6,742.58, 10,114.95 and 2,124.50 is: 3,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.58 : 10,114.95 = 2,124.50 : x
  2. Step 2: Convert to fraction form
    6,742.58/10,114.95 = 2,124.50/x
  3. Step 3: Cross multiply
    6,742.58x = 10,114.95 × 2,124.50
  4. Step 4: Simplify right side
    6,742.58x = 21,489,211.28
  5. Step 5: Solve for x
    x = 21,489,211.28/6,742.58
  6. Step 6: Final answer
    x = 3,187.09

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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.