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Finding the Fourth Proportional to 10,253.79, 15,380.69 and 2,858.44

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Solution

The fourth proportional to 10,253.79, 15,380.69 and 2,858.44 is: 4,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.79 : 15,380.69 = 2,858.44 : x
  2. Step 2: Convert to fraction form
    10,253.79/15,380.69 = 2,858.44/x
  3. Step 3: Cross multiply
    10,253.79x = 15,380.69 × 2,858.44
  4. Step 4: Simplify right side
    10,253.79x = 43,964,779.52
  5. Step 5: Solve for x
    x = 43,964,779.52/10,253.79
  6. Step 6: Final answer
    x = 4,287.66

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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.