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Finding the Fourth Proportional to 10,620.54, 14,657.49 and 6,144.21

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Solution

The fourth proportional to 10,620.54, 14,657.49 and 6,144.21 is: 8,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.54 : 14,657.49 = 6,144.21 : x
  2. Step 2: Convert to fraction form
    10,620.54/14,657.49 = 6,144.21/x
  3. Step 3: Cross multiply
    10,620.54x = 14,657.49 × 6,144.21
  4. Step 4: Simplify right side
    10,620.54x = 90,058,696.63
  5. Step 5: Solve for x
    x = 90,058,696.63/10,620.54
  6. Step 6: Final answer
    x = 8,479.67

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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.