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Finding the Fourth Proportional to 7,050.87, 10,578.75 and 2,120.40

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Solution

The fourth proportional to 7,050.87, 10,578.75 and 2,120.40 is: 3,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.87 : 10,578.75 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    7,050.87/10,578.75 = 2,120.40/x
  3. Step 3: Cross multiply
    7,050.87x = 10,578.75 × 2,120.40
  4. Step 4: Simplify right side
    7,050.87x = 22,431,181.50
  5. Step 5: Solve for x
    x = 22,431,181.50/7,050.87
  6. Step 6: Final answer
    x = 3,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.