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Finding the Fourth Proportional to 11,272.50, 16,909.02 and 4,347

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Solution

The fourth proportional to 11,272.50, 16,909.02 and 4,347 is: 6,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.50 : 16,909.02 = 4,347 : x
  2. Step 2: Convert to fraction form
    11,272.50/16,909.02 = 4,347/x
  3. Step 3: Cross multiply
    11,272.50x = 16,909.02 × 4,347
  4. Step 4: Simplify right side
    11,272.50x = 73,503,509.94
  5. Step 5: Solve for x
    x = 73,503,509.94/11,272.50
  6. Step 6: Final answer
    x = 6,520.60

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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.