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Finding the Fourth Proportional to 6,111.63, 8,435.21 and 3,561.08

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Solution

The fourth proportional to 6,111.63, 8,435.21 and 3,561.08 is: 4,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.63 : 8,435.21 = 3,561.08 : x
  2. Step 2: Convert to fraction form
    6,111.63/8,435.21 = 3,561.08/x
  3. Step 3: Cross multiply
    6,111.63x = 8,435.21 × 3,561.08
  4. Step 4: Simplify right side
    6,111.63x = 30,038,397.65
  5. Step 5: Solve for x
    x = 30,038,397.65/6,111.63
  6. Step 6: Final answer
    x = 4,914.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.