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Finding the Fourth Proportional to 7,084.50, 10,642.41 and 4,623.18

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Solution

The fourth proportional to 7,084.50, 10,642.41 and 4,623.18 is: 6,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.50 : 10,642.41 = 4,623.18 : x
  2. Step 2: Convert to fraction form
    7,084.50/10,642.41 = 4,623.18/x
  3. Step 3: Cross multiply
    7,084.50x = 10,642.41 × 4,623.18
  4. Step 4: Simplify right side
    7,084.50x = 49,201,777.06
  5. Step 5: Solve for x
    x = 49,201,777.06/7,084.50
  6. Step 6: Final answer
    x = 6,944.99

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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.