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Finding the Fourth Proportional to 10,416.03, 14,370.54 and 5,936.55

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Solution

The fourth proportional to 10,416.03, 14,370.54 and 5,936.55 is: 8,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.03 : 14,370.54 = 5,936.55 : x
  2. Step 2: Convert to fraction form
    10,416.03/14,370.54 = 5,936.55/x
  3. Step 3: Cross multiply
    10,416.03x = 14,370.54 × 5,936.55
  4. Step 4: Simplify right side
    10,416.03x = 85,311,429.24
  5. Step 5: Solve for x
    x = 85,311,429.24/10,416.03
  6. Step 6: Final answer
    x = 8,190.40

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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.