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Finding the Fourth Proportional to 8,502.30, 11,733.63 and 4,967.58

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Solution

The fourth proportional to 8,502.30, 11,733.63 and 4,967.58 is: 6,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.30 : 11,733.63 = 4,967.58 : x
  2. Step 2: Convert to fraction form
    8,502.30/11,733.63 = 4,967.58/x
  3. Step 3: Cross multiply
    8,502.30x = 11,733.63 × 4,967.58
  4. Step 4: Simplify right side
    8,502.30x = 58,287,745.72
  5. Step 5: Solve for x
    x = 58,287,745.72/8,502.30
  6. Step 6: Final answer
    x = 6,855.53

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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.