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Finding the Fourth Proportional to 8,523.04, 11,762.80 and 4,796.96

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Solution

The fourth proportional to 8,523.04, 11,762.80 and 4,796.96 is: 6,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.04 : 11,762.80 = 4,796.96 : x
  2. Step 2: Convert to fraction form
    8,523.04/11,762.80 = 4,796.96/x
  3. Step 3: Cross multiply
    8,523.04x = 11,762.80 × 4,796.96
  4. Step 4: Simplify right side
    8,523.04x = 56,425,681.09
  5. Step 5: Solve for x
    x = 56,425,681.09/8,523.04
  6. Step 6: Final answer
    x = 6,620.37

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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.