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Finding the Fourth Proportional to 8,538.40, 11,783.06 and 4,761.80

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Solution

The fourth proportional to 8,538.40, 11,783.06 and 4,761.80 is: 6,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.40 : 11,783.06 = 4,761.80 : x
  2. Step 2: Convert to fraction form
    8,538.40/11,783.06 = 4,761.80/x
  3. Step 3: Cross multiply
    8,538.40x = 11,783.06 × 4,761.80
  4. Step 4: Simplify right side
    8,538.40x = 56,108,575.11
  5. Step 5: Solve for x
    x = 56,108,575.11/8,538.40
  6. Step 6: Final answer
    x = 6,571.32

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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.