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Finding the Fourth Proportional to 10,739.70, 14,820.89 and 6,023.88

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Solution

The fourth proportional to 10,739.70, 14,820.89 and 6,023.88 is: 8,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.70 : 14,820.89 = 6,023.88 : x
  2. Step 2: Convert to fraction form
    10,739.70/14,820.89 = 6,023.88/x
  3. Step 3: Cross multiply
    10,739.70x = 14,820.89 × 6,023.88
  4. Step 4: Simplify right side
    10,739.70x = 89,279,262.85
  5. Step 5: Solve for x
    x = 89,279,262.85/10,739.70
  6. Step 6: Final answer
    x = 8,313.01

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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.