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Finding the Fourth Proportional to 11,510.06, 15,883.72 and 6,474.27

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Solution

The fourth proportional to 11,510.06, 15,883.72 and 6,474.27 is: 8,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.06 : 15,883.72 = 6,474.27 : x
  2. Step 2: Convert to fraction form
    11,510.06/15,883.72 = 6,474.27/x
  3. Step 3: Cross multiply
    11,510.06x = 15,883.72 × 6,474.27
  4. Step 4: Simplify right side
    11,510.06x = 102,835,542.30
  5. Step 5: Solve for x
    x = 102,835,542.30/11,510.06
  6. Step 6: Final answer
    x = 8,934.41

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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.