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Finding the Fourth Proportional to 7,977.92, 11,009.40 and 4,441.40

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Solution

The fourth proportional to 7,977.92, 11,009.40 and 4,441.40 is: 6,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.92 : 11,009.40 = 4,441.40 : x
  2. Step 2: Convert to fraction form
    7,977.92/11,009.40 = 4,441.40/x
  3. Step 3: Cross multiply
    7,977.92x = 11,009.40 × 4,441.40
  4. Step 4: Simplify right side
    7,977.92x = 48,897,149.16
  5. Step 5: Solve for x
    x = 48,897,149.16/7,977.92
  6. Step 6: Final answer
    x = 6,129.06

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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.