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Finding the Fourth Proportional to 10,533.97, 14,539.67 and 6,552.82

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Solution

The fourth proportional to 10,533.97, 14,539.67 and 6,552.82 is: 9,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.97 : 14,539.67 = 6,552.82 : x
  2. Step 2: Convert to fraction form
    10,533.97/14,539.67 = 6,552.82/x
  3. Step 3: Cross multiply
    10,533.97x = 14,539.67 × 6,552.82
  4. Step 4: Simplify right side
    10,533.97x = 95,275,840.37
  5. Step 5: Solve for x
    x = 95,275,840.37/10,533.97
  6. Step 6: Final answer
    x = 9,044.63

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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.