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Finding the Fourth Proportional to 10,459.56, 15,673.14 and 8,262.84

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Solution

The fourth proportional to 10,459.56, 15,673.14 and 8,262.84 is: 12,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.56 : 15,673.14 = 8,262.84 : x
  2. Step 2: Convert to fraction form
    10,459.56/15,673.14 = 8,262.84/x
  3. Step 3: Cross multiply
    10,459.56x = 15,673.14 × 8,262.84
  4. Step 4: Simplify right side
    10,459.56x = 129,504,648.12
  5. Step 5: Solve for x
    x = 129,504,648.12/10,459.56
  6. Step 6: Final answer
    x = 12,381.46

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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.