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Finding the Fourth Proportional to 10,986.32, 16,455.62 and 6,756.71

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Solution

The fourth proportional to 10,986.32, 16,455.62 and 6,756.71 is: 10,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.32 : 16,455.62 = 6,756.71 : x
  2. Step 2: Convert to fraction form
    10,986.32/16,455.62 = 6,756.71/x
  3. Step 3: Cross multiply
    10,986.32x = 16,455.62 × 6,756.71
  4. Step 4: Simplify right side
    10,986.32x = 111,185,786.82
  5. Step 5: Solve for x
    x = 111,185,786.82/10,986.32
  6. Step 6: Final answer
    x = 10,120.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.