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Finding the Fourth Proportional to 10,254.47, 15,382.56 and 2,859

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Solution

The fourth proportional to 10,254.47, 15,382.56 and 2,859 is: 4,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.47 : 15,382.56 = 2,859 : x
  2. Step 2: Convert to fraction form
    10,254.47/15,382.56 = 2,859/x
  3. Step 3: Cross multiply
    10,254.47x = 15,382.56 × 2,859
  4. Step 4: Simplify right side
    10,254.47x = 43,978,739.04
  5. Step 5: Solve for x
    x = 43,978,739.04/10,254.47
  6. Step 6: Final answer
    x = 4,288.74

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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.