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Finding the Fourth Proportional to 11,093.50, 15,309.64 and 6,378.09

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Solution

The fourth proportional to 11,093.50, 15,309.64 and 6,378.09 is: 8,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.50 : 15,309.64 = 6,378.09 : x
  2. Step 2: Convert to fraction form
    11,093.50/15,309.64 = 6,378.09/x
  3. Step 3: Cross multiply
    11,093.50x = 15,309.64 × 6,378.09
  4. Step 4: Simplify right side
    11,093.50x = 97,646,261.79
  5. Step 5: Solve for x
    x = 97,646,261.79/11,093.50
  6. Step 6: Final answer
    x = 8,802.11

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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.