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Finding the Fourth Proportional to 6,881.94, 10,316.46 and 2,498.34

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Solution

The fourth proportional to 6,881.94, 10,316.46 and 2,498.34 is: 3,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.94 : 10,316.46 = 2,498.34 : x
  2. Step 2: Convert to fraction form
    6,881.94/10,316.46 = 2,498.34/x
  3. Step 3: Cross multiply
    6,881.94x = 10,316.46 × 2,498.34
  4. Step 4: Simplify right side
    6,881.94x = 25,774,024.68
  5. Step 5: Solve for x
    x = 25,774,024.68/6,881.94
  6. Step 6: Final answer
    x = 3,745.17

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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.