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Finding the Fourth Proportional to 12,012.77, 16,578.40 and 6,707.59

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Solution

The fourth proportional to 12,012.77, 16,578.40 and 6,707.59 is: 9,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.77 : 16,578.40 = 6,707.59 : x
  2. Step 2: Convert to fraction form
    12,012.77/16,578.40 = 6,707.59/x
  3. Step 3: Cross multiply
    12,012.77x = 16,578.40 × 6,707.59
  4. Step 4: Simplify right side
    12,012.77x = 111,201,051.84
  5. Step 5: Solve for x
    x = 111,201,051.84/12,012.77
  6. Step 6: Final answer
    x = 9,256.90

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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.