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Finding the Fourth Proportional to 6,851.98, 10,271.76 and 4,387.42

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Solution

The fourth proportional to 6,851.98, 10,271.76 and 4,387.42 is: 6,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.98 : 10,271.76 = 4,387.42 : x
  2. Step 2: Convert to fraction form
    6,851.98/10,271.76 = 4,387.42/x
  3. Step 3: Cross multiply
    6,851.98x = 10,271.76 × 4,387.42
  4. Step 4: Simplify right side
    6,851.98x = 45,066,525.26
  5. Step 5: Solve for x
    x = 45,066,525.26/6,851.98
  6. Step 6: Final answer
    x = 6,577.15

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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.