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Finding the Fourth Proportional to 11,648.61, 17,465.76 and 5,717.96

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Solution

The fourth proportional to 11,648.61, 17,465.76 and 5,717.96 is: 8,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.61 : 17,465.76 = 5,717.96 : x
  2. Step 2: Convert to fraction form
    11,648.61/17,465.76 = 5,717.96/x
  3. Step 3: Cross multiply
    11,648.61x = 17,465.76 × 5,717.96
  4. Step 4: Simplify right side
    11,648.61x = 99,868,539.27
  5. Step 5: Solve for x
    x = 99,868,539.27/11,648.61
  6. Step 6: Final answer
    x = 8,573.43

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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.