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Finding the Fourth Proportional to 10,792.67, 16,113.30 and 9,132.38

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Solution

The fourth proportional to 10,792.67, 16,113.30 and 9,132.38 is: 13,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.67 : 16,113.30 = 9,132.38 : x
  2. Step 2: Convert to fraction form
    10,792.67/16,113.30 = 9,132.38/x
  3. Step 3: Cross multiply
    10,792.67x = 16,113.30 × 9,132.38
  4. Step 4: Simplify right side
    10,792.67x = 147,152,698.09
  5. Step 5: Solve for x
    x = 147,152,698.09/10,792.67
  6. Step 6: Final answer
    x = 13,634.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.