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Finding the Fourth Proportional to 7,977.94, 11,009.65 and 4,441.15

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Solution

The fourth proportional to 7,977.94, 11,009.65 and 4,441.15 is: 6,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.94 : 11,009.65 = 4,441.15 : x
  2. Step 2: Convert to fraction form
    7,977.94/11,009.65 = 4,441.15/x
  3. Step 3: Cross multiply
    7,977.94x = 11,009.65 × 4,441.15
  4. Step 4: Simplify right side
    7,977.94x = 48,895,457.37
  5. Step 5: Solve for x
    x = 48,895,457.37/7,977.94
  6. Step 6: Final answer
    x = 6,128.83

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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.