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Finding the Fourth Proportional to 13,292, 19,947.60 and 5,084

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Solution

The fourth proportional to 13,292, 19,947.60 and 5,084 is: 7,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292 : 19,947.60 = 5,084 : x
  2. Step 2: Convert to fraction form
    13,292/19,947.60 = 5,084/x
  3. Step 3: Cross multiply
    13,292x = 19,947.60 × 5,084
  4. Step 4: Simplify right side
    13,292x = 101,413,598.40
  5. Step 5: Solve for x
    x = 101,413,598.40/13,292
  6. Step 6: Final answer
    x = 7,629.67

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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.