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Finding the Fourth Proportional to 11,666.74, 17,502.83 and 3,875.54

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Solution

The fourth proportional to 11,666.74, 17,502.83 and 3,875.54 is: 5,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.74 : 17,502.83 = 3,875.54 : x
  2. Step 2: Convert to fraction form
    11,666.74/17,502.83 = 3,875.54/x
  3. Step 3: Cross multiply
    11,666.74x = 17,502.83 × 3,875.54
  4. Step 4: Simplify right side
    11,666.74x = 67,832,917.78
  5. Step 5: Solve for x
    x = 67,832,917.78/11,666.74
  6. Step 6: Final answer
    x = 5,814.21

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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.