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Finding the Fourth Proportional to 8,533.50, 12,801.69 and 3,605.46

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Solution

The fourth proportional to 8,533.50, 12,801.69 and 3,605.46 is: 5,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.50 : 12,801.69 = 3,605.46 : x
  2. Step 2: Convert to fraction form
    8,533.50/12,801.69 = 3,605.46/x
  3. Step 3: Cross multiply
    8,533.50x = 12,801.69 × 3,605.46
  4. Step 4: Simplify right side
    8,533.50x = 46,155,981.23
  5. Step 5: Solve for x
    x = 46,155,981.23/8,533.50
  6. Step 6: Final answer
    x = 5,408.80

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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.