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Finding the Fourth Proportional to 10,644.51, 15,964.94 and 2,851.50

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Solution

The fourth proportional to 10,644.51, 15,964.94 and 2,851.50 is: 4,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.51 : 15,964.94 = 2,851.50 : x
  2. Step 2: Convert to fraction form
    10,644.51/15,964.94 = 2,851.50/x
  3. Step 3: Cross multiply
    10,644.51x = 15,964.94 × 2,851.50
  4. Step 4: Simplify right side
    10,644.51x = 45,524,026.41
  5. Step 5: Solve for x
    x = 45,524,026.41/10,644.51
  6. Step 6: Final answer
    x = 4,276.76

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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.