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Finding the Fourth Proportional to 7,463.04, 10,366.50 and 7,344

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Solution

The fourth proportional to 7,463.04, 10,366.50 and 7,344 is: 10,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.04 : 10,366.50 = 7,344 : x
  2. Step 2: Convert to fraction form
    7,463.04/10,366.50 = 7,344/x
  3. Step 3: Cross multiply
    7,463.04x = 10,366.50 × 7,344
  4. Step 4: Simplify right side
    7,463.04x = 76,131,576
  5. Step 5: Solve for x
    x = 76,131,576/7,463.04
  6. Step 6: Final answer
    x = 10,201.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.