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Finding the Fourth Proportional to 11,513.45, 17,270.17 and 4,117.46

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Solution

The fourth proportional to 11,513.45, 17,270.17 and 4,117.46 is: 6,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.45 : 17,270.17 = 4,117.46 : x
  2. Step 2: Convert to fraction form
    11,513.45/17,270.17 = 4,117.46/x
  3. Step 3: Cross multiply
    11,513.45x = 17,270.17 × 4,117.46
  4. Step 4: Simplify right side
    11,513.45x = 71,109,127.23
  5. Step 5: Solve for x
    x = 71,109,127.23/11,513.45
  6. Step 6: Final answer
    x = 6,176.18

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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.