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Finding the Fourth Proportional to 10,759.12, 16,164.05 and 6,328.14

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Solution

The fourth proportional to 10,759.12, 16,164.05 and 6,328.14 is: 9,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.12 : 16,164.05 = 6,328.14 : x
  2. Step 2: Convert to fraction form
    10,759.12/16,164.05 = 6,328.14/x
  3. Step 3: Cross multiply
    10,759.12x = 16,164.05 × 6,328.14
  4. Step 4: Simplify right side
    10,759.12x = 102,288,279.11
  5. Step 5: Solve for x
    x = 102,288,279.11/10,759.12
  6. Step 6: Final answer
    x = 9,507.13

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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.