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Finding the Fourth Proportional to 10,278.38, 15,420 and 3,352.88

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Solution

The fourth proportional to 10,278.38, 15,420 and 3,352.88 is: 5,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.38 : 15,420 = 3,352.88 : x
  2. Step 2: Convert to fraction form
    10,278.38/15,420 = 3,352.88/x
  3. Step 3: Cross multiply
    10,278.38x = 15,420 × 3,352.88
  4. Step 4: Simplify right side
    10,278.38x = 51,701,332.50
  5. Step 5: Solve for x
    x = 51,701,332.50/10,278.38
  6. Step 6: Final answer
    x = 5,030.11

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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.