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Finding the Fourth Proportional to 10,622.54, 14,659.92 and 6,373.76

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Solution

The fourth proportional to 10,622.54, 14,659.92 and 6,373.76 is: 8,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.54 : 14,659.92 = 6,373.76 : x
  2. Step 2: Convert to fraction form
    10,622.54/14,659.92 = 6,373.76/x
  3. Step 3: Cross multiply
    10,622.54x = 14,659.92 × 6,373.76
  4. Step 4: Simplify right side
    10,622.54x = 93,438,811.70
  5. Step 5: Solve for x
    x = 93,438,811.70/10,622.54
  6. Step 6: Final answer
    x = 8,796.28

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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.