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Finding the Fourth Proportional to 7,478.27, 11,216.72 and 2,284.14

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Solution

The fourth proportional to 7,478.27, 11,216.72 and 2,284.14 is: 3,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.27 : 11,216.72 = 2,284.14 : x
  2. Step 2: Convert to fraction form
    7,478.27/11,216.72 = 2,284.14/x
  3. Step 3: Cross multiply
    7,478.27x = 11,216.72 × 2,284.14
  4. Step 4: Simplify right side
    7,478.27x = 25,620,564.53
  5. Step 5: Solve for x
    x = 25,620,564.53/7,478.27
  6. Step 6: Final answer
    x = 3,426.00

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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.