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Finding the Fourth Proportional to 11,538.16, 17,308.06 and 4,142.68

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Solution

The fourth proportional to 11,538.16, 17,308.06 and 4,142.68 is: 6,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.16 : 17,308.06 = 4,142.68 : x
  2. Step 2: Convert to fraction form
    11,538.16/17,308.06 = 4,142.68/x
  3. Step 3: Cross multiply
    11,538.16x = 17,308.06 × 4,142.68
  4. Step 4: Simplify right side
    11,538.16x = 71,701,754.00
  5. Step 5: Solve for x
    x = 71,701,754.00/11,538.16
  6. Step 6: Final answer
    x = 6,214.31

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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.