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Finding the Fourth Proportional to 10,418.81, 15,621.25 and 5,741.06

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Solution

The fourth proportional to 10,418.81, 15,621.25 and 5,741.06 is: 8,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.81 : 15,621.25 = 5,741.06 : x
  2. Step 2: Convert to fraction form
    10,418.81/15,621.25 = 5,741.06/x
  3. Step 3: Cross multiply
    10,418.81x = 15,621.25 × 5,741.06
  4. Step 4: Simplify right side
    10,418.81x = 89,682,533.53
  5. Step 5: Solve for x
    x = 89,682,533.53/10,418.81
  6. Step 6: Final answer
    x = 8,607.75

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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.