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Finding the Fourth Proportional to 7,226.17, 10,834 and 4,880.36

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Solution

The fourth proportional to 7,226.17, 10,834 and 4,880.36 is: 7,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.17 : 10,834 = 4,880.36 : x
  2. Step 2: Convert to fraction form
    7,226.17/10,834 = 4,880.36/x
  3. Step 3: Cross multiply
    7,226.17x = 10,834 × 4,880.36
  4. Step 4: Simplify right side
    7,226.17x = 52,873,820.24
  5. Step 5: Solve for x
    x = 52,873,820.24/7,226.17
  6. Step 6: Final answer
    x = 7,316.99

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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.