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Finding the Fourth Proportional to 7,684.98, 11,534.30 and 3,989.76

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Solution

The fourth proportional to 7,684.98, 11,534.30 and 3,989.76 is: 5,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.98 : 11,534.30 = 3,989.76 : x
  2. Step 2: Convert to fraction form
    7,684.98/11,534.30 = 3,989.76/x
  3. Step 3: Cross multiply
    7,684.98x = 11,534.30 × 3,989.76
  4. Step 4: Simplify right side
    7,684.98x = 46,019,040.53
  5. Step 5: Solve for x
    x = 46,019,040.53/7,684.98
  6. Step 6: Final answer
    x = 5,988.18

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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.