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Finding the Fourth Proportional to 10,743.64, 16,026.22 and 10,565.44

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Solution

The fourth proportional to 10,743.64, 16,026.22 and 10,565.44 is: 15,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.64 : 16,026.22 = 10,565.44 : x
  2. Step 2: Convert to fraction form
    10,743.64/16,026.22 = 10,565.44/x
  3. Step 3: Cross multiply
    10,743.64x = 16,026.22 × 10,565.44
  4. Step 4: Simplify right side
    10,743.64x = 169,324,065.84
  5. Step 5: Solve for x
    x = 169,324,065.84/10,743.64
  6. Step 6: Final answer
    x = 15,760.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.