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Finding the Fourth Proportional to 11,411.87, 17,103.66 and 6,466.51

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Solution

The fourth proportional to 11,411.87, 17,103.66 and 6,466.51 is: 9,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.87 : 17,103.66 = 6,466.51 : x
  2. Step 2: Convert to fraction form
    11,411.87/17,103.66 = 6,466.51/x
  3. Step 3: Cross multiply
    11,411.87x = 17,103.66 × 6,466.51
  4. Step 4: Simplify right side
    11,411.87x = 110,600,945.67
  5. Step 5: Solve for x
    x = 110,600,945.67/11,411.87
  6. Step 6: Final answer
    x = 9,691.75

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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.