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Finding the Fourth Proportional to 11,459.68, 17,187.36 and 4,063.84

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Solution

The fourth proportional to 11,459.68, 17,187.36 and 4,063.84 is: 6,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.68 : 17,187.36 = 4,063.84 : x
  2. Step 2: Convert to fraction form
    11,459.68/17,187.36 = 4,063.84/x
  3. Step 3: Cross multiply
    11,459.68x = 17,187.36 × 4,063.84
  4. Step 4: Simplify right side
    11,459.68x = 69,846,681.06
  5. Step 5: Solve for x
    x = 69,846,681.06/11,459.68
  6. Step 6: Final answer
    x = 6,094.99

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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.