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Finding the Fourth Proportional to 10,164.25, 15,230.64 and 7,050.31

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Solution

The fourth proportional to 10,164.25, 15,230.64 and 7,050.31 is: 10,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.25 : 15,230.64 = 7,050.31 : x
  2. Step 2: Convert to fraction form
    10,164.25/15,230.64 = 7,050.31/x
  3. Step 3: Cross multiply
    10,164.25x = 15,230.64 × 7,050.31
  4. Step 4: Simplify right side
    10,164.25x = 107,380,733.50
  5. Step 5: Solve for x
    x = 107,380,733.50/10,164.25
  6. Step 6: Final answer
    x = 10,564.55

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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.