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Finding the Fourth Proportional to 7,807.67, 11,713.23 and 3,645.41

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Solution

The fourth proportional to 7,807.67, 11,713.23 and 3,645.41 is: 5,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.67 : 11,713.23 = 3,645.41 : x
  2. Step 2: Convert to fraction form
    7,807.67/11,713.23 = 3,645.41/x
  3. Step 3: Cross multiply
    7,807.67x = 11,713.23 × 3,645.41
  4. Step 4: Simplify right side
    7,807.67x = 42,699,467.21
  5. Step 5: Solve for x
    x = 42,699,467.21/7,807.67
  6. Step 6: Final answer
    x = 5,468.92

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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.