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Finding the Fourth Proportional to 6,548.07, 9,823.86 and 2,851.11

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Solution

The fourth proportional to 6,548.07, 9,823.86 and 2,851.11 is: 4,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.07 : 9,823.86 = 2,851.11 : x
  2. Step 2: Convert to fraction form
    6,548.07/9,823.86 = 2,851.11/x
  3. Step 3: Cross multiply
    6,548.07x = 9,823.86 × 2,851.11
  4. Step 4: Simplify right side
    6,548.07x = 28,008,905.48
  5. Step 5: Solve for x
    x = 28,008,905.48/6,548.07
  6. Step 6: Final answer
    x = 4,277.43

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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.