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Finding the Fourth Proportional to 10,669.15, 15,980.64 and 7,741

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Solution

The fourth proportional to 10,669.15, 15,980.64 and 7,741 is: 11,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.15 : 15,980.64 = 7,741 : x
  2. Step 2: Convert to fraction form
    10,669.15/15,980.64 = 7,741/x
  3. Step 3: Cross multiply
    10,669.15x = 15,980.64 × 7,741
  4. Step 4: Simplify right side
    10,669.15x = 123,706,134.24
  5. Step 5: Solve for x
    x = 123,706,134.24/10,669.15
  6. Step 6: Final answer
    x = 11,594.75

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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.