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Finding the Fourth Proportional to 11,414.84, 17,098.68 and 6,720.39

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Solution

The fourth proportional to 11,414.84, 17,098.68 and 6,720.39 is: 10,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.84 : 17,098.68 = 6,720.39 : x
  2. Step 2: Convert to fraction form
    11,414.84/17,098.68 = 6,720.39/x
  3. Step 3: Cross multiply
    11,414.84x = 17,098.68 × 6,720.39
  4. Step 4: Simplify right side
    11,414.84x = 114,909,798.09
  5. Step 5: Solve for x
    x = 114,909,798.09/11,414.84
  6. Step 6: Final answer
    x = 10,066.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.