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Finding the Fourth Proportional to 11,549.76, 15,938.38 and 6,513.96

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Solution

The fourth proportional to 11,549.76, 15,938.38 and 6,513.96 is: 8,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.76 : 15,938.38 = 6,513.96 : x
  2. Step 2: Convert to fraction form
    11,549.76/15,938.38 = 6,513.96/x
  3. Step 3: Cross multiply
    11,549.76x = 15,938.38 × 6,513.96
  4. Step 4: Simplify right side
    11,549.76x = 103,821,969.78
  5. Step 5: Solve for x
    x = 103,821,969.78/11,549.76
  6. Step 6: Final answer
    x = 8,989.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.