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Finding the Fourth Proportional to 11,017.50, 16,497.90 and 7,695.96

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Solution

The fourth proportional to 11,017.50, 16,497.90 and 7,695.96 is: 11,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.50 : 16,497.90 = 7,695.96 : x
  2. Step 2: Convert to fraction form
    11,017.50/16,497.90 = 7,695.96/x
  3. Step 3: Cross multiply
    11,017.50x = 16,497.90 × 7,695.96
  4. Step 4: Simplify right side
    11,017.50x = 126,967,178.48
  5. Step 5: Solve for x
    x = 126,967,178.48/11,017.50
  6. Step 6: Final answer
    x = 11,524.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.