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Finding the Fourth Proportional to 8,538.73, 11,783.21 and 4,762.00

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Solution

The fourth proportional to 8,538.73, 11,783.21 and 4,762.00 is: 6,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.73 : 11,783.21 = 4,762.00 : x
  2. Step 2: Convert to fraction form
    8,538.73/11,783.21 = 4,762.00/x
  3. Step 3: Cross multiply
    8,538.73x = 11,783.21 × 4,762.00
  4. Step 4: Simplify right side
    8,538.73x = 56,111,636.94
  5. Step 5: Solve for x
    x = 56,111,636.94/8,538.73
  6. Step 6: Final answer
    x = 6,571.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.