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Finding the Fourth Proportional to 7,463.66, 10,299.90 and 4,106.39

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Solution

The fourth proportional to 7,463.66, 10,299.90 and 4,106.39 is: 5,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.66 : 10,299.90 = 4,106.39 : x
  2. Step 2: Convert to fraction form
    7,463.66/10,299.90 = 4,106.39/x
  3. Step 3: Cross multiply
    7,463.66x = 10,299.90 × 4,106.39
  4. Step 4: Simplify right side
    7,463.66x = 42,295,354.86
  5. Step 5: Solve for x
    x = 42,295,354.86/7,463.66
  6. Step 6: Final answer
    x = 5,666.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.