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Finding the Fourth Proportional to 10,258.39, 14,153.97 and 6,278.05

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Solution

The fourth proportional to 10,258.39, 14,153.97 and 6,278.05 is: 8,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.39 : 14,153.97 = 6,278.05 : x
  2. Step 2: Convert to fraction form
    10,258.39/14,153.97 = 6,278.05/x
  3. Step 3: Cross multiply
    10,258.39x = 14,153.97 × 6,278.05
  4. Step 4: Simplify right side
    10,258.39x = 88,859,331.36
  5. Step 5: Solve for x
    x = 88,859,331.36/10,258.39
  6. Step 6: Final answer
    x = 8,662.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.