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Finding the Fourth Proportional to 10,918.95, 16,392.26 and 9,092.40

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Solution

The fourth proportional to 10,918.95, 16,392.26 and 9,092.40 is: 13,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.95 : 16,392.26 = 9,092.40 : x
  2. Step 2: Convert to fraction form
    10,918.95/16,392.26 = 9,092.40/x
  3. Step 3: Cross multiply
    10,918.95x = 16,392.26 × 9,092.40
  4. Step 4: Simplify right side
    10,918.95x = 149,044,984.82
  5. Step 5: Solve for x
    x = 149,044,984.82/10,918.95
  6. Step 6: Final answer
    x = 13,650.12

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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.