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Finding the Fourth Proportional to 10,092.79, 15,133.98 and 4,541.41

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Solution

The fourth proportional to 10,092.79, 15,133.98 and 4,541.41 is: 6,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.79 : 15,133.98 = 4,541.41 : x
  2. Step 2: Convert to fraction form
    10,092.79/15,133.98 = 4,541.41/x
  3. Step 3: Cross multiply
    10,092.79x = 15,133.98 × 4,541.41
  4. Step 4: Simplify right side
    10,092.79x = 68,729,608.11
  5. Step 5: Solve for x
    x = 68,729,608.11/10,092.79
  6. Step 6: Final answer
    x = 6,809.77

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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.