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Finding the Fourth Proportional to 10,381.84, 15,574.30 and 3,359.50

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Solution

The fourth proportional to 10,381.84, 15,574.30 and 3,359.50 is: 5,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.84 : 15,574.30 = 3,359.50 : x
  2. Step 2: Convert to fraction form
    10,381.84/15,574.30 = 3,359.50/x
  3. Step 3: Cross multiply
    10,381.84x = 15,574.30 × 3,359.50
  4. Step 4: Simplify right side
    10,381.84x = 52,321,813.52
  5. Step 5: Solve for x
    x = 52,321,813.52/10,381.84
  6. Step 6: Final answer
    x = 5,039.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.