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Finding the Fourth Proportional to 8,502.66, 12,739.59 and 5,208.89

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Solution

The fourth proportional to 8,502.66, 12,739.59 and 5,208.89 is: 7,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.66 : 12,739.59 = 5,208.89 : x
  2. Step 2: Convert to fraction form
    8,502.66/12,739.59 = 5,208.89/x
  3. Step 3: Cross multiply
    8,502.66x = 12,739.59 × 5,208.89
  4. Step 4: Simplify right side
    8,502.66x = 66,359,059.26
  5. Step 5: Solve for x
    x = 66,359,059.26/8,502.66
  6. Step 6: Final answer
    x = 7,804.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.