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Finding the Fourth Proportional to 11,513.84, 15,890.63 and 8,538.17

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Solution

The fourth proportional to 11,513.84, 15,890.63 and 8,538.17 is: 11,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.84 : 15,890.63 = 8,538.17 : x
  2. Step 2: Convert to fraction form
    11,513.84/15,890.63 = 8,538.17/x
  3. Step 3: Cross multiply
    11,513.84x = 15,890.63 × 8,538.17
  4. Step 4: Simplify right side
    11,513.84x = 135,676,778.20
  5. Step 5: Solve for x
    x = 135,676,778.20/11,513.84
  6. Step 6: Final answer
    x = 11,783.80

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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.