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Finding the Fourth Proportional to 10,349, 14,282.34 and 6,161.48

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Solution

The fourth proportional to 10,349, 14,282.34 and 6,161.48 is: 8,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349 : 14,282.34 = 6,161.48 : x
  2. Step 2: Convert to fraction form
    10,349/14,282.34 = 6,161.48/x
  3. Step 3: Cross multiply
    10,349x = 14,282.34 × 6,161.48
  4. Step 4: Simplify right side
    10,349x = 88,000,352.26
  5. Step 5: Solve for x
    x = 88,000,352.26/10,349
  6. Step 6: Final answer
    x = 8,503.27

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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.