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Finding the Fourth Proportional to 11,923.86, 16,453 and 6,887.28

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Solution

The fourth proportional to 11,923.86, 16,453 and 6,887.28 is: 9,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.86 : 16,453 = 6,887.28 : x
  2. Step 2: Convert to fraction form
    11,923.86/16,453 = 6,887.28/x
  3. Step 3: Cross multiply
    11,923.86x = 16,453 × 6,887.28
  4. Step 4: Simplify right side
    11,923.86x = 113,316,417.84
  5. Step 5: Solve for x
    x = 113,316,417.84/11,923.86
  6. Step 6: Final answer
    x = 9,503.33

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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.