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Finding the Fourth Proportional to 10,606.12, 15,893.17 and 9,672.39

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Solution

The fourth proportional to 10,606.12, 15,893.17 and 9,672.39 is: 14,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.12 : 15,893.17 = 9,672.39 : x
  2. Step 2: Convert to fraction form
    10,606.12/15,893.17 = 9,672.39/x
  3. Step 3: Cross multiply
    10,606.12x = 15,893.17 × 9,672.39
  4. Step 4: Simplify right side
    10,606.12x = 153,724,938.58
  5. Step 5: Solve for x
    x = 153,724,938.58/10,606.12
  6. Step 6: Final answer
    x = 14,493.98

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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.