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Finding the Fourth Proportional to 11,775.60, 17,664.96 and 3,875.52

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Solution

The fourth proportional to 11,775.60, 17,664.96 and 3,875.52 is: 5,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.60 : 17,664.96 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    11,775.60/17,664.96 = 3,875.52/x
  3. Step 3: Cross multiply
    11,775.60x = 17,664.96 × 3,875.52
  4. Step 4: Simplify right side
    11,775.60x = 68,460,905.78
  5. Step 5: Solve for x
    x = 68,460,905.78/11,775.60
  6. Step 6: Final answer
    x = 5,813.79

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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.