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Finding the Fourth Proportional to 7,467.66, 11,202.03 and 2,277.18

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Solution

The fourth proportional to 7,467.66, 11,202.03 and 2,277.18 is: 3,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.66 : 11,202.03 = 2,277.18 : x
  2. Step 2: Convert to fraction form
    7,467.66/11,202.03 = 2,277.18/x
  3. Step 3: Cross multiply
    7,467.66x = 11,202.03 × 2,277.18
  4. Step 4: Simplify right side
    7,467.66x = 25,509,038.68
  5. Step 5: Solve for x
    x = 25,509,038.68/7,467.66
  6. Step 6: Final answer
    x = 3,415.93

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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.