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Finding the Fourth Proportional to 10,840.88, 16,255.56 and 4,992.50

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Solution

The fourth proportional to 10,840.88, 16,255.56 and 4,992.50 is: 7,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.88 : 16,255.56 = 4,992.50 : x
  2. Step 2: Convert to fraction form
    10,840.88/16,255.56 = 4,992.50/x
  3. Step 3: Cross multiply
    10,840.88x = 16,255.56 × 4,992.50
  4. Step 4: Simplify right side
    10,840.88x = 81,155,883.30
  5. Step 5: Solve for x
    x = 81,155,883.30/10,840.88
  6. Step 6: Final answer
    x = 7,486.10

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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.