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Finding the Fourth Proportional to 10,094.31, 13,930.06 and 5,618.08

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Solution

The fourth proportional to 10,094.31, 13,930.06 and 5,618.08 is: 7,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.31 : 13,930.06 = 5,618.08 : x
  2. Step 2: Convert to fraction form
    10,094.31/13,930.06 = 5,618.08/x
  3. Step 3: Cross multiply
    10,094.31x = 13,930.06 × 5,618.08
  4. Step 4: Simplify right side
    10,094.31x = 78,260,191.48
  5. Step 5: Solve for x
    x = 78,260,191.48/10,094.31
  6. Step 6: Final answer
    x = 7,752.90

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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.