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Finding the Fourth Proportional to 11,676.25, 16,108.86 and 7,486.93

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Solution

The fourth proportional to 11,676.25, 16,108.86 and 7,486.93 is: 10,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.25 : 16,108.86 = 7,486.93 : x
  2. Step 2: Convert to fraction form
    11,676.25/16,108.86 = 7,486.93/x
  3. Step 3: Cross multiply
    11,676.25x = 16,108.86 × 7,486.93
  4. Step 4: Simplify right side
    11,676.25x = 120,605,907.20
  5. Step 5: Solve for x
    x = 120,605,907.20/11,676.25
  6. Step 6: Final answer
    x = 10,329.16

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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.