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Finding the Fourth Proportional to 10,845.81, 14,969.97 and 7,078.38

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Solution

The fourth proportional to 10,845.81, 14,969.97 and 7,078.38 is: 9,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.81 : 14,969.97 = 7,078.38 : x
  2. Step 2: Convert to fraction form
    10,845.81/14,969.97 = 7,078.38/x
  3. Step 3: Cross multiply
    10,845.81x = 14,969.97 × 7,078.38
  4. Step 4: Simplify right side
    10,845.81x = 105,963,136.25
  5. Step 5: Solve for x
    x = 105,963,136.25/10,845.81
  6. Step 6: Final answer
    x = 9,769.96

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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.