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Finding the Fourth Proportional to 10,670.90, 14,725.75 and 5,890.90

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Solution

The fourth proportional to 10,670.90, 14,725.75 and 5,890.90 is: 8,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.90 : 14,725.75 = 5,890.90 : x
  2. Step 2: Convert to fraction form
    10,670.90/14,725.75 = 5,890.90/x
  3. Step 3: Cross multiply
    10,670.90x = 14,725.75 × 5,890.90
  4. Step 4: Simplify right side
    10,670.90x = 86,747,920.68
  5. Step 5: Solve for x
    x = 86,747,920.68/10,670.90
  6. Step 6: Final answer
    x = 8,129.39

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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.