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Finding the Fourth Proportional to 12,111.76, 16,707.54 and 8,135.47

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Solution

The fourth proportional to 12,111.76, 16,707.54 and 8,135.47 is: 11,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.76 : 16,707.54 = 8,135.47 : x
  2. Step 2: Convert to fraction form
    12,111.76/16,707.54 = 8,135.47/x
  3. Step 3: Cross multiply
    12,111.76x = 16,707.54 × 8,135.47
  4. Step 4: Simplify right side
    12,111.76x = 135,923,690.44
  5. Step 5: Solve for x
    x = 135,923,690.44/12,111.76
  6. Step 6: Final answer
    x = 11,222.46

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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.