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Finding the Fourth Proportional to 11,457.53, 15,811.83 and 6,421.79

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Solution

The fourth proportional to 11,457.53, 15,811.83 and 6,421.79 is: 8,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.53 : 15,811.83 = 6,421.79 : x
  2. Step 2: Convert to fraction form
    11,457.53/15,811.83 = 6,421.79/x
  3. Step 3: Cross multiply
    11,457.53x = 15,811.83 × 6,421.79
  4. Step 4: Simplify right side
    11,457.53x = 101,540,251.78
  5. Step 5: Solve for x
    x = 101,540,251.78/11,457.53
  6. Step 6: Final answer
    x = 8,862.32

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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.