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Finding the Fourth Proportional to 7,681.60, 11,522.40 and 3,984.40

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Solution

The fourth proportional to 7,681.60, 11,522.40 and 3,984.40 is: 5,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.60 : 11,522.40 = 3,984.40 : x
  2. Step 2: Convert to fraction form
    7,681.60/11,522.40 = 3,984.40/x
  3. Step 3: Cross multiply
    7,681.60x = 11,522.40 × 3,984.40
  4. Step 4: Simplify right side
    7,681.60x = 45,909,850.56
  5. Step 5: Solve for x
    x = 45,909,850.56/7,681.60
  6. Step 6: Final answer
    x = 5,976.60

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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.