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Finding the Fourth Proportional to 10,384.17, 15,578.75 and 3,364.20

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Solution

The fourth proportional to 10,384.17, 15,578.75 and 3,364.20 is: 5,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.17 : 15,578.75 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    10,384.17/15,578.75 = 3,364.20/x
  3. Step 3: Cross multiply
    10,384.17x = 15,578.75 × 3,364.20
  4. Step 4: Simplify right side
    10,384.17x = 52,410,013.93
  5. Step 5: Solve for x
    x = 52,410,013.93/10,384.17
  6. Step 6: Final answer
    x = 5,047.11

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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.