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Finding the Fourth Proportional to 6,730.25, 10,095.47 and 2,113.25

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Solution

The fourth proportional to 6,730.25, 10,095.47 and 2,113.25 is: 3,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.25 : 10,095.47 = 2,113.25 : x
  2. Step 2: Convert to fraction form
    6,730.25/10,095.47 = 2,113.25/x
  3. Step 3: Cross multiply
    6,730.25x = 10,095.47 × 2,113.25
  4. Step 4: Simplify right side
    6,730.25x = 21,334,241.41
  5. Step 5: Solve for x
    x = 21,334,241.41/6,730.25
  6. Step 6: Final answer
    x = 3,169.90

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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.