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Finding the Fourth Proportional to 25,137.84, 37,712.16 and 7,369.94

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Solution

The fourth proportional to 25,137.84, 37,712.16 and 7,369.94 is: 11,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,137.84 : 37,712.16 = 7,369.94 : x
  2. Step 2: Convert to fraction form
    25,137.84/37,712.16 = 7,369.94/x
  3. Step 3: Cross multiply
    25,137.84x = 37,712.16 × 7,369.94
  4. Step 4: Simplify right side
    25,137.84x = 277,936,356.47
  5. Step 5: Solve for x
    x = 277,936,356.47/25,137.84
  6. Step 6: Final answer
    x = 11,056.49

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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.