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Finding the Fourth Proportional to 6,762.40, 10,123.80 and 4,818.40

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Solution

The fourth proportional to 6,762.40, 10,123.80 and 4,818.40 is: 7,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.40 : 10,123.80 = 4,818.40 : x
  2. Step 2: Convert to fraction form
    6,762.40/10,123.80 = 4,818.40/x
  3. Step 3: Cross multiply
    6,762.40x = 10,123.80 × 4,818.40
  4. Step 4: Simplify right side
    6,762.40x = 48,780,517.92
  5. Step 5: Solve for x
    x = 48,780,517.92/6,762.40
  6. Step 6: Final answer
    x = 7,213.49

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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.