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Finding the Fourth Proportional to 25,092.79, 37,641 and 7,563.98

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Solution

The fourth proportional to 25,092.79, 37,641 and 7,563.98 is: 11,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.79 : 37,641 = 7,563.98 : x
  2. Step 2: Convert to fraction form
    25,092.79/37,641 = 7,563.98/x
  3. Step 3: Cross multiply
    25,092.79x = 37,641 × 7,563.98
  4. Step 4: Simplify right side
    25,092.79x = 284,715,771.18
  5. Step 5: Solve for x
    x = 284,715,771.18/25,092.79
  6. Step 6: Final answer
    x = 11,346.52

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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.