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Finding the Fourth Proportional to 11,254.48, 16,887.48 and 5,097.68

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Solution

The fourth proportional to 11,254.48, 16,887.48 and 5,097.68 is: 7,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.48 : 16,887.48 = 5,097.68 : x
  2. Step 2: Convert to fraction form
    11,254.48/16,887.48 = 5,097.68/x
  3. Step 3: Cross multiply
    11,254.48x = 16,887.48 × 5,097.68
  4. Step 4: Simplify right side
    11,254.48x = 86,086,969.05
  5. Step 5: Solve for x
    x = 86,086,969.05/11,254.48
  6. Step 6: Final answer
    x = 7,649.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.