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Finding the Fourth Proportional to 6,875.70, 10,313.55 and 2,258.70

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Solution

The fourth proportional to 6,875.70, 10,313.55 and 2,258.70 is: 3,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.70 : 10,313.55 = 2,258.70 : x
  2. Step 2: Convert to fraction form
    6,875.70/10,313.55 = 2,258.70/x
  3. Step 3: Cross multiply
    6,875.70x = 10,313.55 × 2,258.70
  4. Step 4: Simplify right side
    6,875.70x = 23,295,215.39
  5. Step 5: Solve for x
    x = 23,295,215.39/6,875.70
  6. Step 6: Final answer
    x = 3,388.05

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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.