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Finding the Fourth Proportional to 7,033.12, 10,549 and 2,873.50

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Solution

The fourth proportional to 7,033.12, 10,549 and 2,873.50 is: 4,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.12 : 10,549 = 2,873.50 : x
  2. Step 2: Convert to fraction form
    7,033.12/10,549 = 2,873.50/x
  3. Step 3: Cross multiply
    7,033.12x = 10,549 × 2,873.50
  4. Step 4: Simplify right side
    7,033.12x = 30,312,551.50
  5. Step 5: Solve for x
    x = 30,312,551.50/7,033.12
  6. Step 6: Final answer
    x = 4,309.97

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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.