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Finding the Fourth Proportional to 10,534.96, 14,538.22 and 5,819.23

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Solution

The fourth proportional to 10,534.96, 14,538.22 and 5,819.23 is: 8,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.96 : 14,538.22 = 5,819.23 : x
  2. Step 2: Convert to fraction form
    10,534.96/14,538.22 = 5,819.23/x
  3. Step 3: Cross multiply
    10,534.96x = 14,538.22 × 5,819.23
  4. Step 4: Simplify right side
    10,534.96x = 84,601,245.97
  5. Step 5: Solve for x
    x = 84,601,245.97/10,534.96
  6. Step 6: Final answer
    x = 8,030.52

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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.