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Finding the Fourth Proportional to 8,529.66, 11,762.82 and 5,542.08

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Solution

The fourth proportional to 8,529.66, 11,762.82 and 5,542.08 is: 7,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.66 : 11,762.82 = 5,542.08 : x
  2. Step 2: Convert to fraction form
    8,529.66/11,762.82 = 5,542.08/x
  3. Step 3: Cross multiply
    8,529.66x = 11,762.82 × 5,542.08
  4. Step 4: Simplify right side
    8,529.66x = 65,190,489.47
  5. Step 5: Solve for x
    x = 65,190,489.47/8,529.66
  6. Step 6: Final answer
    x = 7,642.80

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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.