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Finding the Fourth Proportional to 10,719.94, 16,077 and 4,478.64

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Solution

The fourth proportional to 10,719.94, 16,077 and 4,478.64 is: 6,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.94 : 16,077 = 4,478.64 : x
  2. Step 2: Convert to fraction form
    10,719.94/16,077 = 4,478.64/x
  3. Step 3: Cross multiply
    10,719.94x = 16,077 × 4,478.64
  4. Step 4: Simplify right side
    10,719.94x = 72,003,155.57
  5. Step 5: Solve for x
    x = 72,003,155.57/10,719.94
  6. Step 6: Final answer
    x = 6,716.75

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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.