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Finding the Fourth Proportional to 10,384.68, 15,578.02 and 3,809.28

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Solution

The fourth proportional to 10,384.68, 15,578.02 and 3,809.28 is: 5,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.68 : 15,578.02 = 3,809.28 : x
  2. Step 2: Convert to fraction form
    10,384.68/15,578.02 = 3,809.28/x
  3. Step 3: Cross multiply
    10,384.68x = 15,578.02 × 3,809.28
  4. Step 4: Simplify right side
    10,384.68x = 59,341,040.03
  5. Step 5: Solve for x
    x = 59,341,040.03/10,384.68
  6. Step 6: Final answer
    x = 5,714.29

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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.