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Finding the Fourth Proportional to 6,851.39, 10,277.08 and 3,156.30

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Solution

The fourth proportional to 6,851.39, 10,277.08 and 3,156.30 is: 4,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.39 : 10,277.08 = 3,156.30 : x
  2. Step 2: Convert to fraction form
    6,851.39/10,277.08 = 3,156.30/x
  3. Step 3: Cross multiply
    6,851.39x = 10,277.08 × 3,156.30
  4. Step 4: Simplify right side
    6,851.39x = 32,437,539.71
  5. Step 5: Solve for x
    x = 32,437,539.71/6,851.39
  6. Step 6: Final answer
    x = 4,734.45

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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.