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Finding the Fourth Proportional to 8,533.98, 11,776.95 and 4,997.25

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Solution

The fourth proportional to 8,533.98, 11,776.95 and 4,997.25 is: 6,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.98 : 11,776.95 = 4,997.25 : x
  2. Step 2: Convert to fraction form
    8,533.98/11,776.95 = 4,997.25/x
  3. Step 3: Cross multiply
    8,533.98x = 11,776.95 × 4,997.25
  4. Step 4: Simplify right side
    8,533.98x = 58,852,363.39
  5. Step 5: Solve for x
    x = 58,852,363.39/8,533.98
  6. Step 6: Final answer
    x = 6,896.24

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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.