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Finding the Fourth Proportional to 8,362.50, 11,540.25 and 4,637.22

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Solution

The fourth proportional to 8,362.50, 11,540.25 and 4,637.22 is: 6,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.50 : 11,540.25 = 4,637.22 : x
  2. Step 2: Convert to fraction form
    8,362.50/11,540.25 = 4,637.22/x
  3. Step 3: Cross multiply
    8,362.50x = 11,540.25 × 4,637.22
  4. Step 4: Simplify right side
    8,362.50x = 53,514,678.11
  5. Step 5: Solve for x
    x = 53,514,678.11/8,362.50
  6. Step 6: Final answer
    x = 6,399.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.