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Finding the Fourth Proportional to 6,875.88, 10,313.82 and 2,258.28

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Solution

The fourth proportional to 6,875.88, 10,313.82 and 2,258.28 is: 3,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.88 : 10,313.82 = 2,258.28 : x
  2. Step 2: Convert to fraction form
    6,875.88/10,313.82 = 2,258.28/x
  3. Step 3: Cross multiply
    6,875.88x = 10,313.82 × 2,258.28
  4. Step 4: Simplify right side
    6,875.88x = 23,291,493.43
  5. Step 5: Solve for x
    x = 23,291,493.43/6,875.88
  6. Step 6: Final answer
    x = 3,387.42

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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.