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Finding the Fourth Proportional to 10,754.81, 16,106.26 and 6,468.21

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Solution

The fourth proportional to 10,754.81, 16,106.26 and 6,468.21 is: 9,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.81 : 16,106.26 = 6,468.21 : x
  2. Step 2: Convert to fraction form
    10,754.81/16,106.26 = 6,468.21/x
  3. Step 3: Cross multiply
    10,754.81x = 16,106.26 × 6,468.21
  4. Step 4: Simplify right side
    10,754.81x = 104,178,559.12
  5. Step 5: Solve for x
    x = 104,178,559.12/10,754.81
  6. Step 6: Final answer
    x = 9,686.69

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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.