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Finding the Fourth Proportional to 8,301.72, 12,453.78 and 2,457.56

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Solution

The fourth proportional to 8,301.72, 12,453.78 and 2,457.56 is: 3,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.72 : 12,453.78 = 2,457.56 : x
  2. Step 2: Convert to fraction form
    8,301.72/12,453.78 = 2,457.56/x
  3. Step 3: Cross multiply
    8,301.72x = 12,453.78 × 2,457.56
  4. Step 4: Simplify right side
    8,301.72x = 30,605,911.58
  5. Step 5: Solve for x
    x = 30,605,911.58/8,301.72
  6. Step 6: Final answer
    x = 3,686.70

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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.