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Finding the Fourth Proportional to 10,428.65, 15,643.16 and 3,408.68

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Solution

The fourth proportional to 10,428.65, 15,643.16 and 3,408.68 is: 5,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.65 : 15,643.16 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    10,428.65/15,643.16 = 3,408.68/x
  3. Step 3: Cross multiply
    10,428.65x = 15,643.16 × 3,408.68
  4. Step 4: Simplify right side
    10,428.65x = 53,322,431.37
  5. Step 5: Solve for x
    x = 53,322,431.37/10,428.65
  6. Step 6: Final answer
    x = 5,113.07

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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.