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Finding the Fourth Proportional to 10,802.56, 14,911.26 and 6,327.75

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Solution

The fourth proportional to 10,802.56, 14,911.26 and 6,327.75 is: 8,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.56 : 14,911.26 = 6,327.75 : x
  2. Step 2: Convert to fraction form
    10,802.56/14,911.26 = 6,327.75/x
  3. Step 3: Cross multiply
    10,802.56x = 14,911.26 × 6,327.75
  4. Step 4: Simplify right side
    10,802.56x = 94,354,725.47
  5. Step 5: Solve for x
    x = 94,354,725.47/10,802.56
  6. Step 6: Final answer
    x = 8,734.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.