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Finding the Fourth Proportional to 10,253.97, 15,381.80 and 2,858.50

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Solution

The fourth proportional to 10,253.97, 15,381.80 and 2,858.50 is: 4,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.97 : 15,381.80 = 2,858.50 : x
  2. Step 2: Convert to fraction form
    10,253.97/15,381.80 = 2,858.50/x
  3. Step 3: Cross multiply
    10,253.97x = 15,381.80 × 2,858.50
  4. Step 4: Simplify right side
    10,253.97x = 43,968,784.10
  5. Step 5: Solve for x
    x = 43,968,784.10/10,253.97
  6. Step 6: Final answer
    x = 4,287.98

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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.