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Finding the Fourth Proportional to 7,090.84, 9,785.92 and 4,106.72

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Solution

The fourth proportional to 7,090.84, 9,785.92 and 4,106.72 is: 5,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.84 : 9,785.92 = 4,106.72 : x
  2. Step 2: Convert to fraction form
    7,090.84/9,785.92 = 4,106.72/x
  3. Step 3: Cross multiply
    7,090.84x = 9,785.92 × 4,106.72
  4. Step 4: Simplify right side
    7,090.84x = 40,188,033.38
  5. Step 5: Solve for x
    x = 40,188,033.38/7,090.84
  6. Step 6: Final answer
    x = 5,667.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.