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Finding the Fourth Proportional to 7,090.08, 9,785.25 and 5,107.20

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Solution

The fourth proportional to 7,090.08, 9,785.25 and 5,107.20 is: 7,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.08 : 9,785.25 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    7,090.08/9,785.25 = 5,107.20/x
  3. Step 3: Cross multiply
    7,090.08x = 9,785.25 × 5,107.20
  4. Step 4: Simplify right side
    7,090.08x = 49,975,228.80
  5. Step 5: Solve for x
    x = 49,975,228.80/7,090.08
  6. Step 6: Final answer
    x = 7,048.61

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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.