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Finding the Fourth Proportional to 11,655.38, 17,478.70 and 4,991.69

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Solution

The fourth proportional to 11,655.38, 17,478.70 and 4,991.69 is: 7,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.38 : 17,478.70 = 4,991.69 : x
  2. Step 2: Convert to fraction form
    11,655.38/17,478.70 = 4,991.69/x
  3. Step 3: Cross multiply
    11,655.38x = 17,478.70 × 4,991.69
  4. Step 4: Simplify right side
    11,655.38x = 87,248,283.22
  5. Step 5: Solve for x
    x = 87,248,283.22/11,655.38
  6. Step 6: Final answer
    x = 7,485.66

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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.