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Finding the Fourth Proportional to 11,594.24, 17,385.53 and 5,671.58

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Solution

The fourth proportional to 11,594.24, 17,385.53 and 5,671.58 is: 8,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.24 : 17,385.53 = 5,671.58 : x
  2. Step 2: Convert to fraction form
    11,594.24/17,385.53 = 5,671.58/x
  3. Step 3: Cross multiply
    11,594.24x = 17,385.53 × 5,671.58
  4. Step 4: Simplify right side
    11,594.24x = 98,603,308.95
  5. Step 5: Solve for x
    x = 98,603,308.95/11,594.24
  6. Step 6: Final answer
    x = 8,504.51

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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.