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Finding the Fourth Proportional to 10,193.85, 14,061.20 and 6,002.37

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Solution

The fourth proportional to 10,193.85, 14,061.20 and 6,002.37 is: 8,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.85 : 14,061.20 = 6,002.37 : x
  2. Step 2: Convert to fraction form
    10,193.85/14,061.20 = 6,002.37/x
  3. Step 3: Cross multiply
    10,193.85x = 14,061.20 × 6,002.37
  4. Step 4: Simplify right side
    10,193.85x = 84,400,495.03
  5. Step 5: Solve for x
    x = 84,400,495.03/10,193.85
  6. Step 6: Final answer
    x = 8,279.55

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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.