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Finding the Fourth Proportional to 10,382.34, 15,575.05 and 3,360

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Solution

The fourth proportional to 10,382.34, 15,575.05 and 3,360 is: 5,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.34 : 15,575.05 = 3,360 : x
  2. Step 2: Convert to fraction form
    10,382.34/15,575.05 = 3,360/x
  3. Step 3: Cross multiply
    10,382.34x = 15,575.05 × 3,360
  4. Step 4: Simplify right side
    10,382.34x = 52,332,168
  5. Step 5: Solve for x
    x = 52,332,168/10,382.34
  6. Step 6: Final answer
    x = 5,040.50

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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.