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Finding the Fourth Proportional to 10,161.86, 15,232.38 and 6,875.28

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Solution

The fourth proportional to 10,161.86, 15,232.38 and 6,875.28 is: 10,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.86 : 15,232.38 = 6,875.28 : x
  2. Step 2: Convert to fraction form
    10,161.86/15,232.38 = 6,875.28/x
  3. Step 3: Cross multiply
    10,161.86x = 15,232.38 × 6,875.28
  4. Step 4: Simplify right side
    10,161.86x = 104,726,877.57
  5. Step 5: Solve for x
    x = 104,726,877.57/10,161.86
  6. Step 6: Final answer
    x = 10,305.88

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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.