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Finding the Fourth Proportional to 11,332.89, 17,000.57 and 4,762.17

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Solution

The fourth proportional to 11,332.89, 17,000.57 and 4,762.17 is: 7,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.89 : 17,000.57 = 4,762.17 : x
  2. Step 2: Convert to fraction form
    11,332.89/17,000.57 = 4,762.17/x
  3. Step 3: Cross multiply
    11,332.89x = 17,000.57 × 4,762.17
  4. Step 4: Simplify right side
    11,332.89x = 80,959,604.44
  5. Step 5: Solve for x
    x = 80,959,604.44/11,332.89
  6. Step 6: Final answer
    x = 7,143.77

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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.