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Finding the Fourth Proportional to 10,254.54, 15,382.68 and 2,859.01

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Solution

The fourth proportional to 10,254.54, 15,382.68 and 2,859.01 is: 4,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.54 : 15,382.68 = 2,859.01 : x
  2. Step 2: Convert to fraction form
    10,254.54/15,382.68 = 2,859.01/x
  3. Step 3: Cross multiply
    10,254.54x = 15,382.68 × 2,859.01
  4. Step 4: Simplify right side
    10,254.54x = 43,979,194.81
  5. Step 5: Solve for x
    x = 43,979,194.81/10,254.54
  6. Step 6: Final answer
    x = 4,288.75

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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.