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Finding the Fourth Proportional to 11,927.20, 17,890.80 and 6,095.20

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Solution

The fourth proportional to 11,927.20, 17,890.80 and 6,095.20 is: 9,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.20 : 17,890.80 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    11,927.20/17,890.80 = 6,095.20/x
  3. Step 3: Cross multiply
    11,927.20x = 17,890.80 × 6,095.20
  4. Step 4: Simplify right side
    11,927.20x = 109,048,004.16
  5. Step 5: Solve for x
    x = 109,048,004.16/11,927.20
  6. Step 6: Final answer
    x = 9,142.80

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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.