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Finding the Fourth Proportional to 11,651.39, 17,477.54 and 5,077.63

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Solution

The fourth proportional to 11,651.39, 17,477.54 and 5,077.63 is: 7,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.39 : 17,477.54 = 5,077.63 : x
  2. Step 2: Convert to fraction form
    11,651.39/17,477.54 = 5,077.63/x
  3. Step 3: Cross multiply
    11,651.39x = 17,477.54 × 5,077.63
  4. Step 4: Simplify right side
    11,651.39x = 88,744,412.35
  5. Step 5: Solve for x
    x = 88,744,412.35/11,651.39
  6. Step 6: Final answer
    x = 7,616.64

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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.