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Finding the Fourth Proportional to 10,280.90, 14,188.48 and 5,805.74

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Solution

The fourth proportional to 10,280.90, 14,188.48 and 5,805.74 is: 8,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.90 : 14,188.48 = 5,805.74 : x
  2. Step 2: Convert to fraction form
    10,280.90/14,188.48 = 5,805.74/x
  3. Step 3: Cross multiply
    10,280.90x = 14,188.48 × 5,805.74
  4. Step 4: Simplify right side
    10,280.90x = 82,374,625.88
  5. Step 5: Solve for x
    x = 82,374,625.88/10,280.90
  6. Step 6: Final answer
    x = 8,012.39

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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.