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Finding the Fourth Proportional to 11,783.97, 16,263 and 6,748.59

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Solution

The fourth proportional to 11,783.97, 16,263 and 6,748.59 is: 9,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.97 : 16,263 = 6,748.59 : x
  2. Step 2: Convert to fraction form
    11,783.97/16,263 = 6,748.59/x
  3. Step 3: Cross multiply
    11,783.97x = 16,263 × 6,748.59
  4. Step 4: Simplify right side
    11,783.97x = 109,752,319.17
  5. Step 5: Solve for x
    x = 109,752,319.17/11,783.97
  6. Step 6: Final answer
    x = 9,313.70

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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.