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Finding the Fourth Proportional to 7,697.56, 11,549.39 and 4,002.12

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Solution

The fourth proportional to 7,697.56, 11,549.39 and 4,002.12 is: 6,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.56 : 11,549.39 = 4,002.12 : x
  2. Step 2: Convert to fraction form
    7,697.56/11,549.39 = 4,002.12/x
  3. Step 3: Cross multiply
    7,697.56x = 11,549.39 × 4,002.12
  4. Step 4: Simplify right side
    7,697.56x = 46,222,044.71
  5. Step 5: Solve for x
    x = 46,222,044.71/7,697.56
  6. Step 6: Final answer
    x = 6,004.77

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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.