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Finding the Fourth Proportional to 7,804.89, 11,709.99 and 3,644.46

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Solution

The fourth proportional to 7,804.89, 11,709.99 and 3,644.46 is: 5,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.89 : 11,709.99 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    7,804.89/11,709.99 = 3,644.46/x
  3. Step 3: Cross multiply
    7,804.89x = 11,709.99 × 3,644.46
  4. Step 4: Simplify right side
    7,804.89x = 42,676,590.16
  5. Step 5: Solve for x
    x = 42,676,590.16/7,804.89
  6. Step 6: Final answer
    x = 5,467.93

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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.