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Finding the Fourth Proportional to 11,433.63, 15,778.53 and 6,717.99

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Solution

The fourth proportional to 11,433.63, 15,778.53 and 6,717.99 is: 9,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.63 : 15,778.53 = 6,717.99 : x
  2. Step 2: Convert to fraction form
    11,433.63/15,778.53 = 6,717.99/x
  3. Step 3: Cross multiply
    11,433.63x = 15,778.53 × 6,717.99
  4. Step 4: Simplify right side
    11,433.63x = 106,000,006.75
  5. Step 5: Solve for x
    x = 106,000,006.75/11,433.63
  6. Step 6: Final answer
    x = 9,270.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.