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Finding the Fourth Proportional to 7,477.63, 11,205.81 and 3,316.25

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Solution

The fourth proportional to 7,477.63, 11,205.81 and 3,316.25 is: 4,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.63 : 11,205.81 = 3,316.25 : x
  2. Step 2: Convert to fraction form
    7,477.63/11,205.81 = 3,316.25/x
  3. Step 3: Cross multiply
    7,477.63x = 11,205.81 × 3,316.25
  4. Step 4: Simplify right side
    7,477.63x = 37,161,295.43
  5. Step 5: Solve for x
    x = 37,161,295.43/7,477.63
  6. Step 6: Final answer
    x = 4,969.66

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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.