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Finding the Fourth Proportional to 10,519.17, 14,508.21 and 6,742.68

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Solution

The fourth proportional to 10,519.17, 14,508.21 and 6,742.68 is: 9,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.17 : 14,508.21 = 6,742.68 : x
  2. Step 2: Convert to fraction form
    10,519.17/14,508.21 = 6,742.68/x
  3. Step 3: Cross multiply
    10,519.17x = 14,508.21 × 6,742.68
  4. Step 4: Simplify right side
    10,519.17x = 97,824,217.40
  5. Step 5: Solve for x
    x = 97,824,217.40/10,519.17
  6. Step 6: Final answer
    x = 9,299.61

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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.