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Finding the Fourth Proportional to 11,563.92, 17,341.60 and 4,166.40

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Solution

The fourth proportional to 11,563.92, 17,341.60 and 4,166.40 is: 6,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.92 : 17,341.60 = 4,166.40 : x
  2. Step 2: Convert to fraction form
    11,563.92/17,341.60 = 4,166.40/x
  3. Step 3: Cross multiply
    11,563.92x = 17,341.60 × 4,166.40
  4. Step 4: Simplify right side
    11,563.92x = 72,252,042.24
  5. Step 5: Solve for x
    x = 72,252,042.24/11,563.92
  6. Step 6: Final answer
    x = 6,248.06

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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.