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Finding the Fourth Proportional to 7,977.69, 11,009.72 and 4,441.43

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Solution

The fourth proportional to 7,977.69, 11,009.72 and 4,441.43 is: 6,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.69 : 11,009.72 = 4,441.43 : x
  2. Step 2: Convert to fraction form
    7,977.69/11,009.72 = 4,441.43/x
  3. Step 3: Cross multiply
    7,977.69x = 11,009.72 × 4,441.43
  4. Step 4: Simplify right side
    7,977.69x = 48,898,939.33
  5. Step 5: Solve for x
    x = 48,898,939.33/7,977.69
  6. Step 6: Final answer
    x = 6,129.46

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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.