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Finding the Fourth Proportional to 7,697.64, 11,539.59 and 3,021

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Solution

The fourth proportional to 7,697.64, 11,539.59 and 3,021 is: 4,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.64 : 11,539.59 = 3,021 : x
  2. Step 2: Convert to fraction form
    7,697.64/11,539.59 = 3,021/x
  3. Step 3: Cross multiply
    7,697.64x = 11,539.59 × 3,021
  4. Step 4: Simplify right side
    7,697.64x = 34,861,101.39
  5. Step 5: Solve for x
    x = 34,861,101.39/7,697.64
  6. Step 6: Final answer
    x = 4,528.80

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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.