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Finding the Fourth Proportional to 7,738.75, 10,680.13 and 4,382.15

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Solution

The fourth proportional to 7,738.75, 10,680.13 and 4,382.15 is: 6,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.75 : 10,680.13 = 4,382.15 : x
  2. Step 2: Convert to fraction form
    7,738.75/10,680.13 = 4,382.15/x
  3. Step 3: Cross multiply
    7,738.75x = 10,680.13 × 4,382.15
  4. Step 4: Simplify right side
    7,738.75x = 46,801,931.68
  5. Step 5: Solve for x
    x = 46,801,931.68/7,738.75
  6. Step 6: Final answer
    x = 6,047.74

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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.