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Finding the Fourth Proportional to 11,086.47, 15,286.32 and 9,090.63

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Solution

The fourth proportional to 11,086.47, 15,286.32 and 9,090.63 is: 12,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.47 : 15,286.32 = 9,090.63 : x
  2. Step 2: Convert to fraction form
    11,086.47/15,286.32 = 9,090.63/x
  3. Step 3: Cross multiply
    11,086.47x = 15,286.32 × 9,090.63
  4. Step 4: Simplify right side
    11,086.47x = 138,962,279.18
  5. Step 5: Solve for x
    x = 138,962,279.18/11,086.47
  6. Step 6: Final answer
    x = 12,534.40

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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.