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Finding the Fourth Proportional to 7,840.35, 11,762.01 and 2,293.74

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Solution

The fourth proportional to 7,840.35, 11,762.01 and 2,293.74 is: 3,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.35 : 11,762.01 = 2,293.74 : x
  2. Step 2: Convert to fraction form
    7,840.35/11,762.01 = 2,293.74/x
  3. Step 3: Cross multiply
    7,840.35x = 11,762.01 × 2,293.74
  4. Step 4: Simplify right side
    7,840.35x = 26,978,992.82
  5. Step 5: Solve for x
    x = 26,978,992.82/7,840.35
  6. Step 6: Final answer
    x = 3,441.04

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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.