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Finding the Fourth Proportional to 8,092.10, 11,160.70 and 5,297.06

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Solution

The fourth proportional to 8,092.10, 11,160.70 and 5,297.06 is: 7,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.10 : 11,160.70 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    8,092.10/11,160.70 = 5,297.06/x
  3. Step 3: Cross multiply
    8,092.10x = 11,160.70 × 5,297.06
  4. Step 4: Simplify right side
    8,092.10x = 59,118,828.50
  5. Step 5: Solve for x
    x = 59,118,828.50/8,092.10
  6. Step 6: Final answer
    x = 7,305.75

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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.