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Finding the Fourth Proportional to 7,599.53, 11,399.70 and 2,405

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Solution

The fourth proportional to 7,599.53, 11,399.70 and 2,405 is: 3,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.53 : 11,399.70 = 2,405 : x
  2. Step 2: Convert to fraction form
    7,599.53/11,399.70 = 2,405/x
  3. Step 3: Cross multiply
    7,599.53x = 11,399.70 × 2,405
  4. Step 4: Simplify right side
    7,599.53x = 27,416,278.50
  5. Step 5: Solve for x
    x = 27,416,278.50/7,599.53
  6. Step 6: Final answer
    x = 3,607.63

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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.