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Finding the Fourth Proportional to 12,378.90, 18,584.83 and 7,188.50

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Solution

The fourth proportional to 12,378.90, 18,584.83 and 7,188.50 is: 10,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.90 : 18,584.83 = 7,188.50 : x
  2. Step 2: Convert to fraction form
    12,378.90/18,584.83 = 7,188.50/x
  3. Step 3: Cross multiply
    12,378.90x = 18,584.83 × 7,188.50
  4. Step 4: Simplify right side
    12,378.90x = 133,597,050.46
  5. Step 5: Solve for x
    x = 133,597,050.46/12,378.90
  6. Step 6: Final answer
    x = 10,792.32

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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.