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Finding the Fourth Proportional to 7,679.16, 11,518.34 and 3,782.25

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Solution

The fourth proportional to 7,679.16, 11,518.34 and 3,782.25 is: 5,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.16 : 11,518.34 = 3,782.25 : x
  2. Step 2: Convert to fraction form
    7,679.16/11,518.34 = 3,782.25/x
  3. Step 3: Cross multiply
    7,679.16x = 11,518.34 × 3,782.25
  4. Step 4: Simplify right side
    7,679.16x = 43,565,222.55
  5. Step 5: Solve for x
    x = 43,565,222.55/7,679.16
  6. Step 6: Final answer
    x = 5,673.18

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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.