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Finding the Fourth Proportional to 10,226.53, 15,351.18 and 5,294.84

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Solution

The fourth proportional to 10,226.53, 15,351.18 and 5,294.84 is: 7,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.53 : 15,351.18 = 5,294.84 : x
  2. Step 2: Convert to fraction form
    10,226.53/15,351.18 = 5,294.84/x
  3. Step 3: Cross multiply
    10,226.53x = 15,351.18 × 5,294.84
  4. Step 4: Simplify right side
    10,226.53x = 81,282,112.72
  5. Step 5: Solve for x
    x = 81,282,112.72/10,226.53
  6. Step 6: Final answer
    x = 7,948.16

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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.