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Finding the Fourth Proportional to 11,783.52, 16,259.69 and 7,305.64

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Solution

The fourth proportional to 11,783.52, 16,259.69 and 7,305.64 is: 10,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.52 : 16,259.69 = 7,305.64 : x
  2. Step 2: Convert to fraction form
    11,783.52/16,259.69 = 7,305.64/x
  3. Step 3: Cross multiply
    11,783.52x = 16,259.69 × 7,305.64
  4. Step 4: Simplify right side
    11,783.52x = 118,787,419.27
  5. Step 5: Solve for x
    x = 118,787,419.27/11,783.52
  6. Step 6: Final answer
    x = 10,080.81

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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.