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Finding the Fourth Proportional to 7,598.72, 11,399.16 and 2,405

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Solution

The fourth proportional to 7,598.72, 11,399.16 and 2,405 is: 3,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.72 : 11,399.16 = 2,405 : x
  2. Step 2: Convert to fraction form
    7,598.72/11,399.16 = 2,405/x
  3. Step 3: Cross multiply
    7,598.72x = 11,399.16 × 2,405
  4. Step 4: Simplify right side
    7,598.72x = 27,414,979.80
  5. Step 5: Solve for x
    x = 27,414,979.80/7,598.72
  6. Step 6: Final answer
    x = 3,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.