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Finding the Fourth Proportional to 10,618.80, 15,927.74 and 3,223.09

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Solution

The fourth proportional to 10,618.80, 15,927.74 and 3,223.09 is: 4,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.80 : 15,927.74 = 3,223.09 : x
  2. Step 2: Convert to fraction form
    10,618.80/15,927.74 = 3,223.09/x
  3. Step 3: Cross multiply
    10,618.80x = 15,927.74 × 3,223.09
  4. Step 4: Simplify right side
    10,618.80x = 51,336,555.40
  5. Step 5: Solve for x
    x = 51,336,555.40/10,618.80
  6. Step 6: Final answer
    x = 4,834.50

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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.