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Finding the Fourth Proportional to 11,333.19, 15,640.85 and 6,858.04

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Solution

The fourth proportional to 11,333.19, 15,640.85 and 6,858.04 is: 9,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.19 : 15,640.85 = 6,858.04 : x
  2. Step 2: Convert to fraction form
    11,333.19/15,640.85 = 6,858.04/x
  3. Step 3: Cross multiply
    11,333.19x = 15,640.85 × 6,858.04
  4. Step 4: Simplify right side
    11,333.19x = 107,265,574.93
  5. Step 5: Solve for x
    x = 107,265,574.93/11,333.19
  6. Step 6: Final answer
    x = 9,464.73

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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.