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Finding the Fourth Proportional to 7,851.14, 10,841.60 and 5,858.23

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Solution

The fourth proportional to 7,851.14, 10,841.60 and 5,858.23 is: 8,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.14 : 10,841.60 = 5,858.23 : x
  2. Step 2: Convert to fraction form
    7,851.14/10,841.60 = 5,858.23/x
  3. Step 3: Cross multiply
    7,851.14x = 10,841.60 × 5,858.23
  4. Step 4: Simplify right side
    7,851.14x = 63,512,586.37
  5. Step 5: Solve for x
    x = 63,512,586.37/7,851.14
  6. Step 6: Final answer
    x = 8,089.60

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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.