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Finding the Fourth Proportional to 10,226.21, 15,337.02 and 3,984.08

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Solution

The fourth proportional to 10,226.21, 15,337.02 and 3,984.08 is: 5,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.21 : 15,337.02 = 3,984.08 : x
  2. Step 2: Convert to fraction form
    10,226.21/15,337.02 = 3,984.08/x
  3. Step 3: Cross multiply
    10,226.21x = 15,337.02 × 3,984.08
  4. Step 4: Simplify right side
    10,226.21x = 61,103,914.64
  5. Step 5: Solve for x
    x = 61,103,914.64/10,226.21
  6. Step 6: Final answer
    x = 5,975.23

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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.