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Finding the Fourth Proportional to 11,688.50, 17,533.02 and 4,763

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Solution

The fourth proportional to 11,688.50, 17,533.02 and 4,763 is: 7,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.50 : 17,533.02 = 4,763 : x
  2. Step 2: Convert to fraction form
    11,688.50/17,533.02 = 4,763/x
  3. Step 3: Cross multiply
    11,688.50x = 17,533.02 × 4,763
  4. Step 4: Simplify right side
    11,688.50x = 83,509,774.26
  5. Step 5: Solve for x
    x = 83,509,774.26/11,688.50
  6. Step 6: Final answer
    x = 7,144.61

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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.