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Finding the Fourth Proportional to 12,915.81, 19,357.52 and 5,511.60

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Solution

The fourth proportional to 12,915.81, 19,357.52 and 5,511.60 is: 8,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.81 : 19,357.52 = 5,511.60 : x
  2. Step 2: Convert to fraction form
    12,915.81/19,357.52 = 5,511.60/x
  3. Step 3: Cross multiply
    12,915.81x = 19,357.52 × 5,511.60
  4. Step 4: Simplify right side
    12,915.81x = 106,690,879.67
  5. Step 5: Solve for x
    x = 106,690,879.67/12,915.81
  6. Step 6: Final answer
    x = 8,260.49

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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.