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Finding the Fourth Proportional to 10,938.97, 15,094.41 and 6,158.32

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Solution

The fourth proportional to 10,938.97, 15,094.41 and 6,158.32 is: 8,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.97 : 15,094.41 = 6,158.32 : x
  2. Step 2: Convert to fraction form
    10,938.97/15,094.41 = 6,158.32/x
  3. Step 3: Cross multiply
    10,938.97x = 15,094.41 × 6,158.32
  4. Step 4: Simplify right side
    10,938.97x = 92,956,206.99
  5. Step 5: Solve for x
    x = 92,956,206.99/10,938.97
  6. Step 6: Final answer
    x = 8,497.71

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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.