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Finding the Fourth Proportional to 10,250.10, 14,145.39 and 5,774.01

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Solution

The fourth proportional to 10,250.10, 14,145.39 and 5,774.01 is: 7,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.10 : 14,145.39 = 5,774.01 : x
  2. Step 2: Convert to fraction form
    10,250.10/14,145.39 = 5,774.01/x
  3. Step 3: Cross multiply
    10,250.10x = 14,145.39 × 5,774.01
  4. Step 4: Simplify right side
    10,250.10x = 81,675,623.31
  5. Step 5: Solve for x
    x = 81,675,623.31/10,250.10
  6. Step 6: Final answer
    x = 7,968.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.