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Finding the Fourth Proportional to 11,699.68, 16,140.73 and 8,505.98

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Solution

The fourth proportional to 11,699.68, 16,140.73 and 8,505.98 is: 11,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.68 : 16,140.73 = 8,505.98 : x
  2. Step 2: Convert to fraction form
    11,699.68/16,140.73 = 8,505.98/x
  3. Step 3: Cross multiply
    11,699.68x = 16,140.73 × 8,505.98
  4. Step 4: Simplify right side
    11,699.68x = 137,292,603.33
  5. Step 5: Solve for x
    x = 137,292,603.33/11,699.68
  6. Step 6: Final answer
    x = 11,734.74

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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.