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Finding the Fourth Proportional to 10,094.83, 13,931.11 and 5,618.31

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Solution

The fourth proportional to 10,094.83, 13,931.11 and 5,618.31 is: 7,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.83 : 13,931.11 = 5,618.31 : x
  2. Step 2: Convert to fraction form
    10,094.83/13,931.11 = 5,618.31/x
  3. Step 3: Cross multiply
    10,094.83x = 13,931.11 × 5,618.31
  4. Step 4: Simplify right side
    10,094.83x = 78,269,343.57
  5. Step 5: Solve for x
    x = 78,269,343.57/10,094.83
  6. Step 6: Final answer
    x = 7,753.41

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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.