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Finding the Fourth Proportional to 7,587.81, 11,382.93 and 3,205.31

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Solution

The fourth proportional to 7,587.81, 11,382.93 and 3,205.31 is: 4,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.81 : 11,382.93 = 3,205.31 : x
  2. Step 2: Convert to fraction form
    7,587.81/11,382.93 = 3,205.31/x
  3. Step 3: Cross multiply
    7,587.81x = 11,382.93 × 3,205.31
  4. Step 4: Simplify right side
    7,587.81x = 36,485,762.44
  5. Step 5: Solve for x
    x = 36,485,762.44/7,587.81
  6. Step 6: Final answer
    x = 4,808.47

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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.