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Finding the Fourth Proportional to 12,077.77, 16,668.47 and 6,774.37

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Solution

The fourth proportional to 12,077.77, 16,668.47 and 6,774.37 is: 9,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.77 : 16,668.47 = 6,774.37 : x
  2. Step 2: Convert to fraction form
    12,077.77/16,668.47 = 6,774.37/x
  3. Step 3: Cross multiply
    12,077.77x = 16,668.47 × 6,774.37
  4. Step 4: Simplify right side
    12,077.77x = 112,918,349.24
  5. Step 5: Solve for x
    x = 112,918,349.24/12,077.77
  6. Step 6: Final answer
    x = 9,349.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.