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Finding the Fourth Proportional to 8,131.68, 11,220.96 and 4,595.16

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Solution

The fourth proportional to 8,131.68, 11,220.96 and 4,595.16 is: 6,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.68 : 11,220.96 = 4,595.16 : x
  2. Step 2: Convert to fraction form
    8,131.68/11,220.96 = 4,595.16/x
  3. Step 3: Cross multiply
    8,131.68x = 11,220.96 × 4,595.16
  4. Step 4: Simplify right side
    8,131.68x = 51,562,106.55
  5. Step 5: Solve for x
    x = 51,562,106.55/8,131.68
  6. Step 6: Final answer
    x = 6,340.89

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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.