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Finding the Fourth Proportional to 8,381.90, 11,567.03 and 4,605.35

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Solution

The fourth proportional to 8,381.90, 11,567.03 and 4,605.35 is: 6,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.90 : 11,567.03 = 4,605.35 : x
  2. Step 2: Convert to fraction form
    8,381.90/11,567.03 = 4,605.35/x
  3. Step 3: Cross multiply
    8,381.90x = 11,567.03 × 4,605.35
  4. Step 4: Simplify right side
    8,381.90x = 53,270,179.24
  5. Step 5: Solve for x
    x = 53,270,179.24/8,381.90
  6. Step 6: Final answer
    x = 6,355.38

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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.