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Finding the Fourth Proportional to 7,783.83, 11,665.35 and 4,268.54

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Solution

The fourth proportional to 7,783.83, 11,665.35 and 4,268.54 is: 6,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.83 : 11,665.35 = 4,268.54 : x
  2. Step 2: Convert to fraction form
    7,783.83/11,665.35 = 4,268.54/x
  3. Step 3: Cross multiply
    7,783.83x = 11,665.35 × 4,268.54
  4. Step 4: Simplify right side
    7,783.83x = 49,793,954.76
  5. Step 5: Solve for x
    x = 49,793,954.76/7,783.83
  6. Step 6: Final answer
    x = 6,397.10

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