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Finding the Fourth Proportional to 7,811.46, 10,779.80 and 4,274.64

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Solution

The fourth proportional to 7,811.46, 10,779.80 and 4,274.64 is: 5,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.46 : 10,779.80 = 4,274.64 : x
  2. Step 2: Convert to fraction form
    7,811.46/10,779.80 = 4,274.64/x
  3. Step 3: Cross multiply
    7,811.46x = 10,779.80 × 4,274.64
  4. Step 4: Simplify right side
    7,811.46x = 46,079,742.90
  5. Step 5: Solve for x
    x = 46,079,742.90/7,811.46
  6. Step 6: Final answer
    x = 5,898.99

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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.