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Finding the Fourth Proportional to 11,970.51, 16,519.31 and 6,665.82

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Solution

The fourth proportional to 11,970.51, 16,519.31 and 6,665.82 is: 9,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.51 : 16,519.31 = 6,665.82 : x
  2. Step 2: Convert to fraction form
    11,970.51/16,519.31 = 6,665.82/x
  3. Step 3: Cross multiply
    11,970.51x = 16,519.31 × 6,665.82
  4. Step 4: Simplify right side
    11,970.51x = 110,114,746.98
  5. Step 5: Solve for x
    x = 110,114,746.98/11,970.51
  6. Step 6: Final answer
    x = 9,198.84

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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.