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Finding the Fourth Proportional to 7,785.57, 10,755.80 and 5,103.16

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Solution

The fourth proportional to 7,785.57, 10,755.80 and 5,103.16 is: 7,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.57 : 10,755.80 = 5,103.16 : x
  2. Step 2: Convert to fraction form
    7,785.57/10,755.80 = 5,103.16/x
  3. Step 3: Cross multiply
    7,785.57x = 10,755.80 × 5,103.16
  4. Step 4: Simplify right side
    7,785.57x = 54,888,568.33
  5. Step 5: Solve for x
    x = 54,888,568.33/7,785.57
  6. Step 6: Final answer
    x = 7,050.04

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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.