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Finding the Fourth Proportional to 11,907.19, 17,861.64 and 3,142

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Solution

The fourth proportional to 11,907.19, 17,861.64 and 3,142 is: 4,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.19 : 17,861.64 = 3,142 : x
  2. Step 2: Convert to fraction form
    11,907.19/17,861.64 = 3,142/x
  3. Step 3: Cross multiply
    11,907.19x = 17,861.64 × 3,142
  4. Step 4: Simplify right side
    11,907.19x = 56,121,272.88
  5. Step 5: Solve for x
    x = 56,121,272.88/11,907.19
  6. Step 6: Final answer
    x = 4,713.23

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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.