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Finding the Fourth Proportional to 6,824.03, 10,242.89 and 3,128.91

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Solution

The fourth proportional to 6,824.03, 10,242.89 and 3,128.91 is: 4,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.03 : 10,242.89 = 3,128.91 : x
  2. Step 2: Convert to fraction form
    6,824.03/10,242.89 = 3,128.91/x
  3. Step 3: Cross multiply
    6,824.03x = 10,242.89 × 3,128.91
  4. Step 4: Simplify right side
    6,824.03x = 32,049,065.31
  5. Step 5: Solve for x
    x = 32,049,065.31/6,824.03
  6. Step 6: Final answer
    x = 4,696.50

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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.