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Finding the Fourth Proportional to 7,795.65, 11,699.70 and 4,100.07

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Solution

The fourth proportional to 7,795.65, 11,699.70 and 4,100.07 is: 6,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.65 : 11,699.70 = 4,100.07 : x
  2. Step 2: Convert to fraction form
    7,795.65/11,699.70 = 4,100.07/x
  3. Step 3: Cross multiply
    7,795.65x = 11,699.70 × 4,100.07
  4. Step 4: Simplify right side
    7,795.65x = 47,969,588.98
  5. Step 5: Solve for x
    x = 47,969,588.98/7,795.65
  6. Step 6: Final answer
    x = 6,153.38

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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.