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Finding the Fourth Proportional to 6,858.16, 10,278.91 and 3,155.29

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Solution

The fourth proportional to 6,858.16, 10,278.91 and 3,155.29 is: 4,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.16 : 10,278.91 = 3,155.29 : x
  2. Step 2: Convert to fraction form
    6,858.16/10,278.91 = 3,155.29/x
  3. Step 3: Cross multiply
    6,858.16x = 10,278.91 × 3,155.29
  4. Step 4: Simplify right side
    6,858.16x = 32,432,941.93
  5. Step 5: Solve for x
    x = 32,432,941.93/6,858.16
  6. Step 6: Final answer
    x = 4,729.10

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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.