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Finding the Fourth Proportional to 10,250.70, 14,147.31 and 5,775.32

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Solution

The fourth proportional to 10,250.70, 14,147.31 and 5,775.32 is: 7,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.70 : 14,147.31 = 5,775.32 : x
  2. Step 2: Convert to fraction form
    10,250.70/14,147.31 = 5,775.32/x
  3. Step 3: Cross multiply
    10,250.70x = 14,147.31 × 5,775.32
  4. Step 4: Simplify right side
    10,250.70x = 81,705,171.65
  5. Step 5: Solve for x
    x = 81,705,171.65/10,250.70
  6. Step 6: Final answer
    x = 7,970.69

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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.