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Finding the Fourth Proportional to 7,785.86, 10,740.94 and 4,640.90

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Solution

The fourth proportional to 7,785.86, 10,740.94 and 4,640.90 is: 6,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.86 : 10,740.94 = 4,640.90 : x
  2. Step 2: Convert to fraction form
    7,785.86/10,740.94 = 4,640.90/x
  3. Step 3: Cross multiply
    7,785.86x = 10,740.94 × 4,640.90
  4. Step 4: Simplify right side
    7,785.86x = 49,847,563.14
  5. Step 5: Solve for x
    x = 49,847,563.14/7,785.86
  6. Step 6: Final answer
    x = 6,402.32

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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.