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Finding the Fourth Proportional to 12,085.41, 16,687.31 and 7,838.49

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Solution

The fourth proportional to 12,085.41, 16,687.31 and 7,838.49 is: 10,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.41 : 16,687.31 = 7,838.49 : x
  2. Step 2: Convert to fraction form
    12,085.41/16,687.31 = 7,838.49/x
  3. Step 3: Cross multiply
    12,085.41x = 16,687.31 × 7,838.49
  4. Step 4: Simplify right side
    12,085.41x = 130,803,273.37
  5. Step 5: Solve for x
    x = 130,803,273.37/12,085.41
  6. Step 6: Final answer
    x = 10,823.24

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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.