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Finding the Fourth Proportional to 7,100.55, 9,785.47 and 5,107.65

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Solution

The fourth proportional to 7,100.55, 9,785.47 and 5,107.65 is: 7,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.55 : 9,785.47 = 5,107.65 : x
  2. Step 2: Convert to fraction form
    7,100.55/9,785.47 = 5,107.65/x
  3. Step 3: Cross multiply
    7,100.55x = 9,785.47 × 5,107.65
  4. Step 4: Simplify right side
    7,100.55x = 49,980,755.85
  5. Step 5: Solve for x
    x = 49,980,755.85/7,100.55
  6. Step 6: Final answer
    x = 7,039.00

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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.