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Finding the Fourth Proportional to 6,902.16, 10,352.16 and 2,285.16

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Solution

The fourth proportional to 6,902.16, 10,352.16 and 2,285.16 is: 3,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.16 : 10,352.16 = 2,285.16 : x
  2. Step 2: Convert to fraction form
    6,902.16/10,352.16 = 2,285.16/x
  3. Step 3: Cross multiply
    6,902.16x = 10,352.16 × 2,285.16
  4. Step 4: Simplify right side
    6,902.16x = 23,656,341.95
  5. Step 5: Solve for x
    x = 23,656,341.95/6,902.16
  6. Step 6: Final answer
    x = 3,427.38

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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.