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Finding the Fourth Proportional to 11,461.68, 17,190.36 and 4,065.84

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Solution

The fourth proportional to 11,461.68, 17,190.36 and 4,065.84 is: 6,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.68 : 17,190.36 = 4,065.84 : x
  2. Step 2: Convert to fraction form
    11,461.68/17,190.36 = 4,065.84/x
  3. Step 3: Cross multiply
    11,461.68x = 17,190.36 × 4,065.84
  4. Step 4: Simplify right side
    11,461.68x = 69,893,253.30
  5. Step 5: Solve for x
    x = 69,893,253.30/11,461.68
  6. Step 6: Final answer
    x = 6,097.99

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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.