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Finding the Fourth Proportional to 8,538.77, 11,782.33 and 4,761.48

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Solution

The fourth proportional to 8,538.77, 11,782.33 and 4,761.48 is: 6,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.77 : 11,782.33 = 4,761.48 : x
  2. Step 2: Convert to fraction form
    8,538.77/11,782.33 = 4,761.48/x
  3. Step 3: Cross multiply
    8,538.77x = 11,782.33 × 4,761.48
  4. Step 4: Simplify right side
    8,538.77x = 56,101,360.93
  5. Step 5: Solve for x
    x = 56,101,360.93/8,538.77
  6. Step 6: Final answer
    x = 6,570.19

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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.