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Finding the Fourth Proportional to 8,188.14, 12,271.93 and 3,502.65

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Solution

The fourth proportional to 8,188.14, 12,271.93 and 3,502.65 is: 5,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.14 : 12,271.93 = 3,502.65 : x
  2. Step 2: Convert to fraction form
    8,188.14/12,271.93 = 3,502.65/x
  3. Step 3: Cross multiply
    8,188.14x = 12,271.93 × 3,502.65
  4. Step 4: Simplify right side
    8,188.14x = 42,984,263.55
  5. Step 5: Solve for x
    x = 42,984,263.55/8,188.14
  6. Step 6: Final answer
    x = 5,249.58

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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.