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Finding the Fourth Proportional to 10,019.32, 15,024.66 and 3,859

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Solution

The fourth proportional to 10,019.32, 15,024.66 and 3,859 is: 5,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.32 : 15,024.66 = 3,859 : x
  2. Step 2: Convert to fraction form
    10,019.32/15,024.66 = 3,859/x
  3. Step 3: Cross multiply
    10,019.32x = 15,024.66 × 3,859
  4. Step 4: Simplify right side
    10,019.32x = 57,980,162.94
  5. Step 5: Solve for x
    x = 57,980,162.94/10,019.32
  6. Step 6: Final answer
    x = 5,786.84

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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.