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Finding the Fourth Proportional to 6,902.95, 10,356.15 and 2,223.40

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Solution

The fourth proportional to 6,902.95, 10,356.15 and 2,223.40 is: 3,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.95 : 10,356.15 = 2,223.40 : x
  2. Step 2: Convert to fraction form
    6,902.95/10,356.15 = 2,223.40/x
  3. Step 3: Cross multiply
    6,902.95x = 10,356.15 × 2,223.40
  4. Step 4: Simplify right side
    6,902.95x = 23,025,863.91
  5. Step 5: Solve for x
    x = 23,025,863.91/6,902.95
  6. Step 6: Final answer
    x = 3,335.66

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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.