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Finding the Fourth Proportional to 11,615.04, 17,412.48 and 5,768.64

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Solution

The fourth proportional to 11,615.04, 17,412.48 and 5,768.64 is: 8,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.04 : 17,412.48 = 5,768.64 : x
  2. Step 2: Convert to fraction form
    11,615.04/17,412.48 = 5,768.64/x
  3. Step 3: Cross multiply
    11,615.04x = 17,412.48 × 5,768.64
  4. Step 4: Simplify right side
    11,615.04x = 100,446,328.63
  5. Step 5: Solve for x
    x = 100,446,328.63/11,615.04
  6. Step 6: Final answer
    x = 8,647.95

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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.