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Finding the Fourth Proportional to 11,775.60, 16,246.85 and 9,783

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Solution

The fourth proportional to 11,775.60, 16,246.85 and 9,783 is: 13,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.60 : 16,246.85 = 9,783 : x
  2. Step 2: Convert to fraction form
    11,775.60/16,246.85 = 9,783/x
  3. Step 3: Cross multiply
    11,775.60x = 16,246.85 × 9,783
  4. Step 4: Simplify right side
    11,775.60x = 158,942,884.64
  5. Step 5: Solve for x
    x = 158,942,884.64/11,775.60
  6. Step 6: Final answer
    x = 13,497.65

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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.