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Finding the Fourth Proportional to 11,911.59, 17,854.77 and 4,006.58

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Solution

The fourth proportional to 11,911.59, 17,854.77 and 4,006.58 is: 6,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.59 : 17,854.77 = 4,006.58 : x
  2. Step 2: Convert to fraction form
    11,911.59/17,854.77 = 4,006.58/x
  3. Step 3: Cross multiply
    11,911.59x = 17,854.77 × 4,006.58
  4. Step 4: Simplify right side
    11,911.59x = 71,536,475.11
  5. Step 5: Solve for x
    x = 71,536,475.11/11,911.59
  6. Step 6: Final answer
    x = 6,005.62

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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.