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Finding the Fourth Proportional to 10,969.65, 16,456.95 and 5,123.07

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Solution

The fourth proportional to 10,969.65, 16,456.95 and 5,123.07 is: 7,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.65 : 16,456.95 = 5,123.07 : x
  2. Step 2: Convert to fraction form
    10,969.65/16,456.95 = 5,123.07/x
  3. Step 3: Cross multiply
    10,969.65x = 16,456.95 × 5,123.07
  4. Step 4: Simplify right side
    10,969.65x = 84,310,106.84
  5. Step 5: Solve for x
    x = 84,310,106.84/10,969.65
  6. Step 6: Final answer
    x = 7,685.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.