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Finding the Fourth Proportional to 8,131.20, 11,220.18 and 4,594.32

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Solution

The fourth proportional to 8,131.20, 11,220.18 and 4,594.32 is: 6,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.20 : 11,220.18 = 4,594.32 : x
  2. Step 2: Convert to fraction form
    8,131.20/11,220.18 = 4,594.32/x
  3. Step 3: Cross multiply
    8,131.20x = 11,220.18 × 4,594.32
  4. Step 4: Simplify right side
    8,131.20x = 51,549,097.38
  5. Step 5: Solve for x
    x = 51,549,097.38/8,131.20
  6. Step 6: Final answer
    x = 6,339.67

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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.