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Finding the Fourth Proportional to 11,732.76, 17,604.84 and 5,158.10

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Solution

The fourth proportional to 11,732.76, 17,604.84 and 5,158.10 is: 7,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.76 : 17,604.84 = 5,158.10 : x
  2. Step 2: Convert to fraction form
    11,732.76/17,604.84 = 5,158.10/x
  3. Step 3: Cross multiply
    11,732.76x = 17,604.84 × 5,158.10
  4. Step 4: Simplify right side
    11,732.76x = 90,807,437.18
  5. Step 5: Solve for x
    x = 90,807,437.18/11,732.76
  6. Step 6: Final answer
    x = 7,739.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.