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Finding the Fourth Proportional to 11,757.49, 16,225.28 and 6,379.93

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Solution

The fourth proportional to 11,757.49, 16,225.28 and 6,379.93 is: 8,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.49 : 16,225.28 = 6,379.93 : x
  2. Step 2: Convert to fraction form
    11,757.49/16,225.28 = 6,379.93/x
  3. Step 3: Cross multiply
    11,757.49x = 16,225.28 × 6,379.93
  4. Step 4: Simplify right side
    11,757.49x = 103,516,069.50
  5. Step 5: Solve for x
    x = 103,516,069.50/11,757.49
  6. Step 6: Final answer
    x = 8,804.27

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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.