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Finding the Fourth Proportional to 11,747.88, 16,217.16 and 7,031.28

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Solution

The fourth proportional to 11,747.88, 16,217.16 and 7,031.28 is: 9,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.88 : 16,217.16 = 7,031.28 : x
  2. Step 2: Convert to fraction form
    11,747.88/16,217.16 = 7,031.28/x
  3. Step 3: Cross multiply
    11,747.88x = 16,217.16 × 7,031.28
  4. Step 4: Simplify right side
    11,747.88x = 114,027,392.76
  5. Step 5: Solve for x
    x = 114,027,392.76/11,747.88
  6. Step 6: Final answer
    x = 9,706.21

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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.