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Finding the Fourth Proportional to 10,094.45, 13,930.14 and 5,618.19

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Solution

The fourth proportional to 10,094.45, 13,930.14 and 5,618.19 is: 7,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.45 : 13,930.14 = 5,618.19 : x
  2. Step 2: Convert to fraction form
    10,094.45/13,930.14 = 5,618.19/x
  3. Step 3: Cross multiply
    10,094.45x = 13,930.14 × 5,618.19
  4. Step 4: Simplify right side
    10,094.45x = 78,262,173.25
  5. Step 5: Solve for x
    x = 78,262,173.25/10,094.45
  6. Step 6: Final answer
    x = 7,752.99

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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.