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Finding the Fourth Proportional to 11,730.26, 17,595.54 and 3,832.71

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Solution

The fourth proportional to 11,730.26, 17,595.54 and 3,832.71 is: 5,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.26 : 17,595.54 = 3,832.71 : x
  2. Step 2: Convert to fraction form
    11,730.26/17,595.54 = 3,832.71/x
  3. Step 3: Cross multiply
    11,730.26x = 17,595.54 × 3,832.71
  4. Step 4: Simplify right side
    11,730.26x = 67,438,602.11
  5. Step 5: Solve for x
    x = 67,438,602.11/11,730.26
  6. Step 6: Final answer
    x = 5,749.11

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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.