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Finding the Fourth Proportional to 7,734.66, 10,673.04 and 4,377.60

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Solution

The fourth proportional to 7,734.66, 10,673.04 and 4,377.60 is: 6,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.66 : 10,673.04 = 4,377.60 : x
  2. Step 2: Convert to fraction form
    7,734.66/10,673.04 = 4,377.60/x
  3. Step 3: Cross multiply
    7,734.66x = 10,673.04 × 4,377.60
  4. Step 4: Simplify right side
    7,734.66x = 46,722,299.90
  5. Step 5: Solve for x
    x = 46,722,299.90/7,734.66
  6. Step 6: Final answer
    x = 6,040.64

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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.