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Finding the Fourth Proportional to 12,111.41, 16,706.92 and 7,627.46

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Solution

The fourth proportional to 12,111.41, 16,706.92 and 7,627.46 is: 10,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.41 : 16,706.92 = 7,627.46 : x
  2. Step 2: Convert to fraction form
    12,111.41/16,706.92 = 7,627.46/x
  3. Step 3: Cross multiply
    12,111.41x = 16,706.92 × 7,627.46
  4. Step 4: Simplify right side
    12,111.41x = 127,431,364.02
  5. Step 5: Solve for x
    x = 127,431,364.02/12,111.41
  6. Step 6: Final answer
    x = 10,521.60

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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.