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Finding the Fourth Proportional to 10,254.66, 15,381.72 and 2,859.63

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Solution

The fourth proportional to 10,254.66, 15,381.72 and 2,859.63 is: 4,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.66 : 15,381.72 = 2,859.63 : x
  2. Step 2: Convert to fraction form
    10,254.66/15,381.72 = 2,859.63/x
  3. Step 3: Cross multiply
    10,254.66x = 15,381.72 × 2,859.63
  4. Step 4: Simplify right side
    10,254.66x = 43,986,027.96
  5. Step 5: Solve for x
    x = 43,986,027.96/10,254.66
  6. Step 6: Final answer
    x = 4,289.37

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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.