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Finding the Fourth Proportional to 7,763.90, 10,693.77 and 5,967.94

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Solution

The fourth proportional to 7,763.90, 10,693.77 and 5,967.94 is: 8,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.90 : 10,693.77 = 5,967.94 : x
  2. Step 2: Convert to fraction form
    7,763.90/10,693.77 = 5,967.94/x
  3. Step 3: Cross multiply
    7,763.90x = 10,693.77 × 5,967.94
  4. Step 4: Simplify right side
    7,763.90x = 63,819,777.73
  5. Step 5: Solve for x
    x = 63,819,777.73/7,763.90
  6. Step 6: Final answer
    x = 8,220.07

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