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Finding the Fourth Proportional to 10,958.32, 16,441.80 and 4,798

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Solution

The fourth proportional to 10,958.32, 16,441.80 and 4,798 is: 7,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.32 : 16,441.80 = 4,798 : x
  2. Step 2: Convert to fraction form
    10,958.32/16,441.80 = 4,798/x
  3. Step 3: Cross multiply
    10,958.32x = 16,441.80 × 4,798
  4. Step 4: Simplify right side
    10,958.32x = 78,887,756.40
  5. Step 5: Solve for x
    x = 78,887,756.40/10,958.32
  6. Step 6: Final answer
    x = 7,198.89

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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.