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Finding the Fourth Proportional to 8,362.29, 12,537.48 and 4,199.28

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Solution

The fourth proportional to 8,362.29, 12,537.48 and 4,199.28 is: 6,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.29 : 12,537.48 = 4,199.28 : x
  2. Step 2: Convert to fraction form
    8,362.29/12,537.48 = 4,199.28/x
  3. Step 3: Cross multiply
    8,362.29x = 12,537.48 × 4,199.28
  4. Step 4: Simplify right side
    8,362.29x = 52,648,389.01
  5. Step 5: Solve for x
    x = 52,648,389.01/8,362.29
  6. Step 6: Final answer
    x = 6,295.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.