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Finding the Fourth Proportional to 27,897.76, 41,846.64 and 10,372

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Solution

The fourth proportional to 27,897.76, 41,846.64 and 10,372 is: 15,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.76 : 41,846.64 = 10,372 : x
  2. Step 2: Convert to fraction form
    27,897.76/41,846.64 = 10,372/x
  3. Step 3: Cross multiply
    27,897.76x = 41,846.64 × 10,372
  4. Step 4: Simplify right side
    27,897.76x = 434,033,350.08
  5. Step 5: Solve for x
    x = 434,033,350.08/27,897.76
  6. Step 6: Final answer
    x = 15,558

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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.