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Finding the Fourth Proportional to 11,970.42, 16,518.83 and 6,665.12

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Solution

The fourth proportional to 11,970.42, 16,518.83 and 6,665.12 is: 9,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.42 : 16,518.83 = 6,665.12 : x
  2. Step 2: Convert to fraction form
    11,970.42/16,518.83 = 6,665.12/x
  3. Step 3: Cross multiply
    11,970.42x = 16,518.83 × 6,665.12
  4. Step 4: Simplify right side
    11,970.42x = 110,099,868.29
  5. Step 5: Solve for x
    x = 110,099,868.29/11,970.42
  6. Step 6: Final answer
    x = 9,197.66

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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.