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Finding the Fourth Proportional to 8,184.78, 11,296.06 and 4,997.40

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Solution

The fourth proportional to 8,184.78, 11,296.06 and 4,997.40 is: 6,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.78 : 11,296.06 = 4,997.40 : x
  2. Step 2: Convert to fraction form
    8,184.78/11,296.06 = 4,997.40/x
  3. Step 3: Cross multiply
    8,184.78x = 11,296.06 × 4,997.40
  4. Step 4: Simplify right side
    8,184.78x = 56,450,930.24
  5. Step 5: Solve for x
    x = 56,450,930.24/8,184.78
  6. Step 6: Final answer
    x = 6,897.06

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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.