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Finding the Fourth Proportional to 10,435.72, 14,401.74 and 6,243.16

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Solution

The fourth proportional to 10,435.72, 14,401.74 and 6,243.16 is: 8,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.72 : 14,401.74 = 6,243.16 : x
  2. Step 2: Convert to fraction form
    10,435.72/14,401.74 = 6,243.16/x
  3. Step 3: Cross multiply
    10,435.72x = 14,401.74 × 6,243.16
  4. Step 4: Simplify right side
    10,435.72x = 89,912,367.10
  5. Step 5: Solve for x
    x = 89,912,367.10/10,435.72
  6. Step 6: Final answer
    x = 8,615.83

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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.