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Finding the Fourth Proportional to 7,085.26, 10,630.86 and 3,578.50

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Solution

The fourth proportional to 7,085.26, 10,630.86 and 3,578.50 is: 5,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.26 : 10,630.86 = 3,578.50 : x
  2. Step 2: Convert to fraction form
    7,085.26/10,630.86 = 3,578.50/x
  3. Step 3: Cross multiply
    7,085.26x = 10,630.86 × 3,578.50
  4. Step 4: Simplify right side
    7,085.26x = 38,042,532.51
  5. Step 5: Solve for x
    x = 38,042,532.51/7,085.26
  6. Step 6: Final answer
    x = 5,369.25

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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.