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Finding the Fourth Proportional to 11,584.68, 17,405.02 and 7,433

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Solution

The fourth proportional to 11,584.68, 17,405.02 and 7,433 is: 11,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.68 : 17,405.02 = 7,433 : x
  2. Step 2: Convert to fraction form
    11,584.68/17,405.02 = 7,433/x
  3. Step 3: Cross multiply
    11,584.68x = 17,405.02 × 7,433
  4. Step 4: Simplify right side
    11,584.68x = 129,371,513.66
  5. Step 5: Solve for x
    x = 129,371,513.66/11,584.68
  6. Step 6: Final answer
    x = 11,167.47

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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.