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Finding the Fourth Proportional to 7,128.06, 10,696.14 and 3,841.08

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Solution

The fourth proportional to 7,128.06, 10,696.14 and 3,841.08 is: 5,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.06 : 10,696.14 = 3,841.08 : x
  2. Step 2: Convert to fraction form
    7,128.06/10,696.14 = 3,841.08/x
  3. Step 3: Cross multiply
    7,128.06x = 10,696.14 × 3,841.08
  4. Step 4: Simplify right side
    7,128.06x = 41,084,729.43
  5. Step 5: Solve for x
    x = 41,084,729.43/7,128.06
  6. Step 6: Final answer
    x = 5,763.80

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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.