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Finding the Fourth Proportional to 10,953.43, 16,414.52 and 8,445.13

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Solution

The fourth proportional to 10,953.43, 16,414.52 and 8,445.13 is: 12,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.43 : 16,414.52 = 8,445.13 : x
  2. Step 2: Convert to fraction form
    10,953.43/16,414.52 = 8,445.13/x
  3. Step 3: Cross multiply
    10,953.43x = 16,414.52 × 8,445.13
  4. Step 4: Simplify right side
    10,953.43x = 138,622,672.03
  5. Step 5: Solve for x
    x = 138,622,672.03/10,953.43
  6. Step 6: Final answer
    x = 12,655.64

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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.