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Finding the Fourth Proportional to 7,548.38, 10,394.51 and 7,384.61

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Solution

The fourth proportional to 7,548.38, 10,394.51 and 7,384.61 is: 10,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.38 : 10,394.51 = 7,384.61 : x
  2. Step 2: Convert to fraction form
    7,548.38/10,394.51 = 7,384.61/x
  3. Step 3: Cross multiply
    7,548.38x = 10,394.51 × 7,384.61
  4. Step 4: Simplify right side
    7,548.38x = 76,759,313.60
  5. Step 5: Solve for x
    x = 76,759,313.60/7,548.38
  6. Step 6: Final answer
    x = 10,168.99

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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.