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Finding the Fourth Proportional to 11,534.08, 17,308.12 and 4,608

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Solution

The fourth proportional to 11,534.08, 17,308.12 and 4,608 is: 6,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.08 : 17,308.12 = 4,608 : x
  2. Step 2: Convert to fraction form
    11,534.08/17,308.12 = 4,608/x
  3. Step 3: Cross multiply
    11,534.08x = 17,308.12 × 4,608
  4. Step 4: Simplify right side
    11,534.08x = 79,755,816.96
  5. Step 5: Solve for x
    x = 79,755,816.96/11,534.08
  6. Step 6: Final answer
    x = 6,914.80

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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.