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Finding the Fourth Proportional to 10,094.58, 13,930.83 and 5,618.58

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Solution

The fourth proportional to 10,094.58, 13,930.83 and 5,618.58 is: 7,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.58 : 13,930.83 = 5,618.58 : x
  2. Step 2: Convert to fraction form
    10,094.58/13,930.83 = 5,618.58/x
  3. Step 3: Cross multiply
    10,094.58x = 13,930.83 × 5,618.58
  4. Step 4: Simplify right side
    10,094.58x = 78,271,482.82
  5. Step 5: Solve for x
    x = 78,271,482.82/10,094.58
  6. Step 6: Final answer
    x = 7,753.81

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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.