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Finding the Fourth Proportional to 7,693.74, 11,539.35 and 2,762.46

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Solution

The fourth proportional to 7,693.74, 11,539.35 and 2,762.46 is: 4,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.74 : 11,539.35 = 2,762.46 : x
  2. Step 2: Convert to fraction form
    7,693.74/11,539.35 = 2,762.46/x
  3. Step 3: Cross multiply
    7,693.74x = 11,539.35 × 2,762.46
  4. Step 4: Simplify right side
    7,693.74x = 31,876,992.80
  5. Step 5: Solve for x
    x = 31,876,992.80/7,693.74
  6. Step 6: Final answer
    x = 4,143.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.