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Finding the Fourth Proportional to 12,723.75, 17,562.72 and 8,532

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Solution

The fourth proportional to 12,723.75, 17,562.72 and 8,532 is: 11,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.75 : 17,562.72 = 8,532 : x
  2. Step 2: Convert to fraction form
    12,723.75/17,562.72 = 8,532/x
  3. Step 3: Cross multiply
    12,723.75x = 17,562.72 × 8,532
  4. Step 4: Simplify right side
    12,723.75x = 149,845,159.04
  5. Step 5: Solve for x
    x = 149,845,159.04/12,723.75
  6. Step 6: Final answer
    x = 11,776.81

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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.