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Finding the Fourth Proportional to 6,860.60, 10,311.08 and 5,698.11

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Solution

The fourth proportional to 6,860.60, 10,311.08 and 5,698.11 is: 8,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.60 : 10,311.08 = 5,698.11 : x
  2. Step 2: Convert to fraction form
    6,860.60/10,311.08 = 5,698.11/x
  3. Step 3: Cross multiply
    6,860.60x = 10,311.08 × 5,698.11
  4. Step 4: Simplify right side
    6,860.60x = 58,753,639.57
  5. Step 5: Solve for x
    x = 58,753,639.57/6,860.60
  6. Step 6: Final answer
    x = 8,563.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.