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Finding the Fourth Proportional to 10,696.93, 16,034.46 and 4,120.54

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Solution

The fourth proportional to 10,696.93, 16,034.46 and 4,120.54 is: 6,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.93 : 16,034.46 = 4,120.54 : x
  2. Step 2: Convert to fraction form
    10,696.93/16,034.46 = 4,120.54/x
  3. Step 3: Cross multiply
    10,696.93x = 16,034.46 × 4,120.54
  4. Step 4: Simplify right side
    10,696.93x = 66,070,633.81
  5. Step 5: Solve for x
    x = 66,070,633.81/10,696.93
  6. Step 6: Final answer
    x = 6,176.60

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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.