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Finding the Fourth Proportional to 10,152.31, 15,241.73 and 8,152.07

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Solution

The fourth proportional to 10,152.31, 15,241.73 and 8,152.07 is: 12,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.31 : 15,241.73 = 8,152.07 : x
  2. Step 2: Convert to fraction form
    10,152.31/15,241.73 = 8,152.07/x
  3. Step 3: Cross multiply
    10,152.31x = 15,241.73 × 8,152.07
  4. Step 4: Simplify right side
    10,152.31x = 124,251,571.02
  5. Step 5: Solve for x
    x = 124,251,571.02/10,152.31
  6. Step 6: Final answer
    x = 12,238.75

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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.