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Finding the Fourth Proportional to 10,790.50, 14,894.94 and 7,980.49

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Solution

The fourth proportional to 10,790.50, 14,894.94 and 7,980.49 is: 11,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.50 : 14,894.94 = 7,980.49 : x
  2. Step 2: Convert to fraction form
    10,790.50/14,894.94 = 7,980.49/x
  3. Step 3: Cross multiply
    10,790.50x = 14,894.94 × 7,980.49
  4. Step 4: Simplify right side
    10,790.50x = 118,868,923.38
  5. Step 5: Solve for x
    x = 118,868,923.38/10,790.50
  6. Step 6: Final answer
    x = 11,016.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.