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Finding the Fourth Proportional to 10,094.96, 13,930.08 and 7,443.84

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Solution

The fourth proportional to 10,094.96, 13,930.08 and 7,443.84 is: 10,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.96 : 13,930.08 = 7,443.84 : x
  2. Step 2: Convert to fraction form
    10,094.96/13,930.08 = 7,443.84/x
  3. Step 3: Cross multiply
    10,094.96x = 13,930.08 × 7,443.84
  4. Step 4: Simplify right side
    10,094.96x = 103,693,286.71
  5. Step 5: Solve for x
    x = 103,693,286.71/10,094.96
  6. Step 6: Final answer
    x = 10,271.79

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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.