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Finding the Fourth Proportional to 7,734.16, 10,672.50 and 4,376.80

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Solution

The fourth proportional to 7,734.16, 10,672.50 and 4,376.80 is: 6,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.16 : 10,672.50 = 4,376.80 : x
  2. Step 2: Convert to fraction form
    7,734.16/10,672.50 = 4,376.80/x
  3. Step 3: Cross multiply
    7,734.16x = 10,672.50 × 4,376.80
  4. Step 4: Simplify right side
    7,734.16x = 46,711,398
  5. Step 5: Solve for x
    x = 46,711,398/7,734.16
  6. Step 6: Final answer
    x = 6,039.62

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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.