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Finding the Fourth Proportional to 7,965.96, 11,941.14 and 4,457.68

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Solution

The fourth proportional to 7,965.96, 11,941.14 and 4,457.68 is: 6,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.96 : 11,941.14 = 4,457.68 : x
  2. Step 2: Convert to fraction form
    7,965.96/11,941.14 = 4,457.68/x
  3. Step 3: Cross multiply
    7,965.96x = 11,941.14 × 4,457.68
  4. Step 4: Simplify right side
    7,965.96x = 53,229,780.96
  5. Step 5: Solve for x
    x = 53,229,780.96/7,965.96
  6. Step 6: Final answer
    x = 6,682.16

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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.