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Finding the Fourth Proportional to 7,089.30, 9,782.38 and 4,104.73

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Solution

The fourth proportional to 7,089.30, 9,782.38 and 4,104.73 is: 5,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.30 : 9,782.38 = 4,104.73 : x
  2. Step 2: Convert to fraction form
    7,089.30/9,782.38 = 4,104.73/x
  3. Step 3: Cross multiply
    7,089.30x = 9,782.38 × 4,104.73
  4. Step 4: Simplify right side
    7,089.30x = 40,153,996.76
  5. Step 5: Solve for x
    x = 40,153,996.76/7,089.30
  6. Step 6: Final answer
    x = 5,664.03

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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.