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Finding the Fourth Proportional to 8,192.70, 11,297 and 5,535.50

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Solution

The fourth proportional to 8,192.70, 11,297 and 5,535.50 is: 7,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.70 : 11,297 = 5,535.50 : x
  2. Step 2: Convert to fraction form
    8,192.70/11,297 = 5,535.50/x
  3. Step 3: Cross multiply
    8,192.70x = 11,297 × 5,535.50
  4. Step 4: Simplify right side
    8,192.70x = 62,534,543.50
  5. Step 5: Solve for x
    x = 62,534,543.50/8,192.70
  6. Step 6: Final answer
    x = 7,632.96

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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.