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Finding the Fourth Proportional to 6,851.54, 10,271.16 and 2,465.93

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Solution

The fourth proportional to 6,851.54, 10,271.16 and 2,465.93 is: 3,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.54 : 10,271.16 = 2,465.93 : x
  2. Step 2: Convert to fraction form
    6,851.54/10,271.16 = 2,465.93/x
  3. Step 3: Cross multiply
    6,851.54x = 10,271.16 × 2,465.93
  4. Step 4: Simplify right side
    6,851.54x = 25,327,987.26
  5. Step 5: Solve for x
    x = 25,327,987.26/6,851.54
  6. Step 6: Final answer
    x = 3,696.68

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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.