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Finding the Fourth Proportional to 28,558.50, 42,837.82 and 7,782

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Solution

The fourth proportional to 28,558.50, 42,837.82 and 7,782 is: 11,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,558.50 : 42,837.82 = 7,782 : x
  2. Step 2: Convert to fraction form
    28,558.50/42,837.82 = 7,782/x
  3. Step 3: Cross multiply
    28,558.50x = 42,837.82 × 7,782
  4. Step 4: Simplify right side
    28,558.50x = 333,363,915.24
  5. Step 5: Solve for x
    x = 333,363,915.24/28,558.50
  6. Step 6: Final answer
    x = 11,673.02

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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.