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Finding the Fourth Proportional to 10,188.90, 15,283.71 and 3,262.50

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Solution

The fourth proportional to 10,188.90, 15,283.71 and 3,262.50 is: 4,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.90 : 15,283.71 = 3,262.50 : x
  2. Step 2: Convert to fraction form
    10,188.90/15,283.71 = 3,262.50/x
  3. Step 3: Cross multiply
    10,188.90x = 15,283.71 × 3,262.50
  4. Step 4: Simplify right side
    10,188.90x = 49,863,103.88
  5. Step 5: Solve for x
    x = 49,863,103.88/10,188.90
  6. Step 6: Final answer
    x = 4,893.87

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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.