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Finding the Fourth Proportional to 7,977.64, 11,007.79 and 4,619.87

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Solution

The fourth proportional to 7,977.64, 11,007.79 and 4,619.87 is: 6,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.64 : 11,007.79 = 4,619.87 : x
  2. Step 2: Convert to fraction form
    7,977.64/11,007.79 = 4,619.87/x
  3. Step 3: Cross multiply
    7,977.64x = 11,007.79 × 4,619.87
  4. Step 4: Simplify right side
    7,977.64x = 50,854,558.79
  5. Step 5: Solve for x
    x = 50,854,558.79/7,977.64
  6. Step 6: Final answer
    x = 6,374.64

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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.