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Finding the Fourth Proportional to 10,416.63, 15,617.41 and 6,189.86

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Solution

The fourth proportional to 10,416.63, 15,617.41 and 6,189.86 is: 9,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.63 : 15,617.41 = 6,189.86 : x
  2. Step 2: Convert to fraction form
    10,416.63/15,617.41 = 6,189.86/x
  3. Step 3: Cross multiply
    10,416.63x = 15,617.41 × 6,189.86
  4. Step 4: Simplify right side
    10,416.63x = 96,669,663.05
  5. Step 5: Solve for x
    x = 96,669,663.05/10,416.63
  6. Step 6: Final answer
    x = 9,280.32

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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.