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Finding the Fourth Proportional to 7,731.64, 10,672.05 and 4,751.80

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Solution

The fourth proportional to 7,731.64, 10,672.05 and 4,751.80 is: 6,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.64 : 10,672.05 = 4,751.80 : x
  2. Step 2: Convert to fraction form
    7,731.64/10,672.05 = 4,751.80/x
  3. Step 3: Cross multiply
    7,731.64x = 10,672.05 × 4,751.80
  4. Step 4: Simplify right side
    7,731.64x = 50,711,447.19
  5. Step 5: Solve for x
    x = 50,711,447.19/7,731.64
  6. Step 6: Final answer
    x = 6,558.95

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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.