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Finding the Fourth Proportional to 11,665.92, 17,502.66 and 3,875.88

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Solution

The fourth proportional to 11,665.92, 17,502.66 and 3,875.88 is: 5,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.92 : 17,502.66 = 3,875.88 : x
  2. Step 2: Convert to fraction form
    11,665.92/17,502.66 = 3,875.88/x
  3. Step 3: Cross multiply
    11,665.92x = 17,502.66 × 3,875.88
  4. Step 4: Simplify right side
    11,665.92x = 67,838,209.84
  5. Step 5: Solve for x
    x = 67,838,209.84/11,665.92
  6. Step 6: Final answer
    x = 5,815.08

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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.