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Finding the Fourth Proportional to 10,451.68, 14,420.64 and 6,256.96

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Solution

The fourth proportional to 10,451.68, 14,420.64 and 6,256.96 is: 8,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.68 : 14,420.64 = 6,256.96 : x
  2. Step 2: Convert to fraction form
    10,451.68/14,420.64 = 6,256.96/x
  3. Step 3: Cross multiply
    10,451.68x = 14,420.64 × 6,256.96
  4. Step 4: Simplify right side
    10,451.68x = 90,229,367.65
  5. Step 5: Solve for x
    x = 90,229,367.65/10,451.68
  6. Step 6: Final answer
    x = 8,633.00

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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.