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Finding the Fourth Proportional to 10,436.51, 15,650.87 and 4,194.41

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Solution

The fourth proportional to 10,436.51, 15,650.87 and 4,194.41 is: 6,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.51 : 15,650.87 = 4,194.41 : x
  2. Step 2: Convert to fraction form
    10,436.51/15,650.87 = 4,194.41/x
  3. Step 3: Cross multiply
    10,436.51x = 15,650.87 × 4,194.41
  4. Step 4: Simplify right side
    10,436.51x = 65,646,215.25
  5. Step 5: Solve for x
    x = 65,646,215.25/10,436.51
  6. Step 6: Final answer
    x = 6,290.05

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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.