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Finding the Fourth Proportional to 7,074.24, 9,763.08 and 5,302.80

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Solution

The fourth proportional to 7,074.24, 9,763.08 and 5,302.80 is: 7,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.24 : 9,763.08 = 5,302.80 : x
  2. Step 2: Convert to fraction form
    7,074.24/9,763.08 = 5,302.80/x
  3. Step 3: Cross multiply
    7,074.24x = 9,763.08 × 5,302.80
  4. Step 4: Simplify right side
    7,074.24x = 51,771,660.62
  5. Step 5: Solve for x
    x = 51,771,660.62/7,074.24
  6. Step 6: Final answer
    x = 7,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.