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Finding the Fourth Proportional to 10,226.21, 15,326.76 and 5,293.04

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Solution

The fourth proportional to 10,226.21, 15,326.76 and 5,293.04 is: 7,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.21 : 15,326.76 = 5,293.04 : x
  2. Step 2: Convert to fraction form
    10,226.21/15,326.76 = 5,293.04/x
  3. Step 3: Cross multiply
    10,226.21x = 15,326.76 × 5,293.04
  4. Step 4: Simplify right side
    10,226.21x = 81,125,153.75
  5. Step 5: Solve for x
    x = 81,125,153.75/10,226.21
  6. Step 6: Final answer
    x = 7,933.06

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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.