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Finding the Fourth Proportional to 10,608.46, 14,640.09 and 7,258.30

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Solution

The fourth proportional to 10,608.46, 14,640.09 and 7,258.30 is: 10,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.46 : 14,640.09 = 7,258.30 : x
  2. Step 2: Convert to fraction form
    10,608.46/14,640.09 = 7,258.30/x
  3. Step 3: Cross multiply
    10,608.46x = 14,640.09 × 7,258.30
  4. Step 4: Simplify right side
    10,608.46x = 106,262,165.25
  5. Step 5: Solve for x
    x = 106,262,165.25/10,608.46
  6. Step 6: Final answer
    x = 10,016.74

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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.