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Finding the Fourth Proportional to 10,699.28, 14,764.20 and 5,982.68

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Solution

The fourth proportional to 10,699.28, 14,764.20 and 5,982.68 is: 8,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.28 : 14,764.20 = 5,982.68 : x
  2. Step 2: Convert to fraction form
    10,699.28/14,764.20 = 5,982.68/x
  3. Step 3: Cross multiply
    10,699.28x = 14,764.20 × 5,982.68
  4. Step 4: Simplify right side
    10,699.28x = 88,329,484.06
  5. Step 5: Solve for x
    x = 88,329,484.06/10,699.28
  6. Step 6: Final answer
    x = 8,255.65

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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.