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Finding the Fourth Proportional to 10,256.30, 15,384.56 and 2,860.30

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Solution

The fourth proportional to 10,256.30, 15,384.56 and 2,860.30 is: 4,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.30 : 15,384.56 = 2,860.30 : x
  2. Step 2: Convert to fraction form
    10,256.30/15,384.56 = 2,860.30/x
  3. Step 3: Cross multiply
    10,256.30x = 15,384.56 × 2,860.30
  4. Step 4: Simplify right side
    10,256.30x = 44,004,517.56
  5. Step 5: Solve for x
    x = 44,004,517.56/10,256.30
  6. Step 6: Final answer
    x = 4,290.49

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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.