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Finding the Fourth Proportional to 11,094.45, 15,310.43 and 6,378.82

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Solution

The fourth proportional to 11,094.45, 15,310.43 and 6,378.82 is: 8,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.45 : 15,310.43 = 6,378.82 : x
  2. Step 2: Convert to fraction form
    11,094.45/15,310.43 = 6,378.82/x
  3. Step 3: Cross multiply
    11,094.45x = 15,310.43 × 6,378.82
  4. Step 4: Simplify right side
    11,094.45x = 97,662,477.09
  5. Step 5: Solve for x
    x = 97,662,477.09/11,094.45
  6. Step 6: Final answer
    x = 8,802.82

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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.