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Finding the Fourth Proportional to 11,719.14, 17,577.80 and 4,322.22

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Solution

The fourth proportional to 11,719.14, 17,577.80 and 4,322.22 is: 6,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.14 : 17,577.80 = 4,322.22 : x
  2. Step 2: Convert to fraction form
    11,719.14/17,577.80 = 4,322.22/x
  3. Step 3: Cross multiply
    11,719.14x = 17,577.80 × 4,322.22
  4. Step 4: Simplify right side
    11,719.14x = 75,975,118.72
  5. Step 5: Solve for x
    x = 75,975,118.72/11,719.14
  6. Step 6: Final answer
    x = 6,482.99

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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.