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Finding the Fourth Proportional to 11,741.70, 16,203.51 and 6,436.50

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Solution

The fourth proportional to 11,741.70, 16,203.51 and 6,436.50 is: 8,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.70 : 16,203.51 = 6,436.50 : x
  2. Step 2: Convert to fraction form
    11,741.70/16,203.51 = 6,436.50/x
  3. Step 3: Cross multiply
    11,741.70x = 16,203.51 × 6,436.50
  4. Step 4: Simplify right side
    11,741.70x = 104,293,892.12
  5. Step 5: Solve for x
    x = 104,293,892.12/11,741.70
  6. Step 6: Final answer
    x = 8,882.35

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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.