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Finding the Fourth Proportional to 7,409.61, 11,108.61 and 3,709.98

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Solution

The fourth proportional to 7,409.61, 11,108.61 and 3,709.98 is: 5,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.61 : 11,108.61 = 3,709.98 : x
  2. Step 2: Convert to fraction form
    7,409.61/11,108.61 = 3,709.98/x
  3. Step 3: Cross multiply
    7,409.61x = 11,108.61 × 3,709.98
  4. Step 4: Simplify right side
    7,409.61x = 41,212,720.93
  5. Step 5: Solve for x
    x = 41,212,720.93/7,409.61
  6. Step 6: Final answer
    x = 5,562.06

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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.