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Finding the Fourth Proportional to 11,676.12, 16,130.61 and 7,652.51

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Solution

The fourth proportional to 11,676.12, 16,130.61 and 7,652.51 is: 10,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.12 : 16,130.61 = 7,652.51 : x
  2. Step 2: Convert to fraction form
    11,676.12/16,130.61 = 7,652.51/x
  3. Step 3: Cross multiply
    11,676.12x = 16,130.61 × 7,652.51
  4. Step 4: Simplify right side
    11,676.12x = 123,439,616.07
  5. Step 5: Solve for x
    x = 123,439,616.07/11,676.12
  6. Step 6: Final answer
    x = 10,571.98

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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.