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Finding the Fourth Proportional to 10,253.46, 15,381.05 and 2,858.00

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Solution

The fourth proportional to 10,253.46, 15,381.05 and 2,858.00 is: 4,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.46 : 15,381.05 = 2,858.00 : x
  2. Step 2: Convert to fraction form
    10,253.46/15,381.05 = 2,858.00/x
  3. Step 3: Cross multiply
    10,253.46x = 15,381.05 × 2,858.00
  4. Step 4: Simplify right side
    10,253.46x = 43,958,949.70
  5. Step 5: Solve for x
    x = 43,958,949.70/10,253.46
  6. Step 6: Final answer
    x = 4,287.23

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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.