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Finding the Fourth Proportional to 11,538.47, 17,313.12 and 5,988.80

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Solution

The fourth proportional to 11,538.47, 17,313.12 and 5,988.80 is: 8,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.47 : 17,313.12 = 5,988.80 : x
  2. Step 2: Convert to fraction form
    11,538.47/17,313.12 = 5,988.80/x
  3. Step 3: Cross multiply
    11,538.47x = 17,313.12 × 5,988.80
  4. Step 4: Simplify right side
    11,538.47x = 103,684,726.49
  5. Step 5: Solve for x
    x = 103,684,726.49/11,538.47
  6. Step 6: Final answer
    x = 8,986.01

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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.