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Finding the Fourth Proportional to 11,719, 17,578.02 and 6,785.08

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Solution

The fourth proportional to 11,719, 17,578.02 and 6,785.08 is: 10,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719 : 17,578.02 = 6,785.08 : x
  2. Step 2: Convert to fraction form
    11,719/17,578.02 = 6,785.08/x
  3. Step 3: Cross multiply
    11,719x = 17,578.02 × 6,785.08
  4. Step 4: Simplify right side
    11,719x = 119,268,271.94
  5. Step 5: Solve for x
    x = 119,268,271.94/11,719
  6. Step 6: Final answer
    x = 10,177.34

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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.