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Finding the Fourth Proportional to 10,405.79, 15,601.08 and 3,832.10

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Solution

The fourth proportional to 10,405.79, 15,601.08 and 3,832.10 is: 5,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.79 : 15,601.08 = 3,832.10 : x
  2. Step 2: Convert to fraction form
    10,405.79/15,601.08 = 3,832.10/x
  3. Step 3: Cross multiply
    10,405.79x = 15,601.08 × 3,832.10
  4. Step 4: Simplify right side
    10,405.79x = 59,784,898.67
  5. Step 5: Solve for x
    x = 59,784,898.67/10,405.79
  6. Step 6: Final answer
    x = 5,745.35

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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.