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Finding the Fourth Proportional to 7,598.86, 11,389.64 and 3,694.30

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Solution

The fourth proportional to 7,598.86, 11,389.64 and 3,694.30 is: 5,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.86 : 11,389.64 = 3,694.30 : x
  2. Step 2: Convert to fraction form
    7,598.86/11,389.64 = 3,694.30/x
  3. Step 3: Cross multiply
    7,598.86x = 11,389.64 × 3,694.30
  4. Step 4: Simplify right side
    7,598.86x = 42,076,747.05
  5. Step 5: Solve for x
    x = 42,076,747.05/7,598.86
  6. Step 6: Final answer
    x = 5,537.24

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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.