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Finding the Fourth Proportional to 8,539.24, 11,784.22 and 4,762.28

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Solution

The fourth proportional to 8,539.24, 11,784.22 and 4,762.28 is: 6,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.24 : 11,784.22 = 4,762.28 : x
  2. Step 2: Convert to fraction form
    8,539.24/11,784.22 = 4,762.28/x
  3. Step 3: Cross multiply
    8,539.24x = 11,784.22 × 4,762.28
  4. Step 4: Simplify right side
    8,539.24x = 56,119,755.22
  5. Step 5: Solve for x
    x = 56,119,755.22/8,539.24
  6. Step 6: Final answer
    x = 6,571.98

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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.