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Finding the Fourth Proportional to 7,090.50, 10,640.62 and 2,473.50

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Solution

The fourth proportional to 7,090.50, 10,640.62 and 2,473.50 is: 3,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.50 : 10,640.62 = 2,473.50 : x
  2. Step 2: Convert to fraction form
    7,090.50/10,640.62 = 2,473.50/x
  3. Step 3: Cross multiply
    7,090.50x = 10,640.62 × 2,473.50
  4. Step 4: Simplify right side
    7,090.50x = 26,319,573.57
  5. Step 5: Solve for x
    x = 26,319,573.57/7,090.50
  6. Step 6: Final answer
    x = 3,711.95

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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.