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Finding the Fourth Proportional to 10,693.15, 16,040.00 and 5,069.50

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Solution

The fourth proportional to 10,693.15, 16,040.00 and 5,069.50 is: 7,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.15 : 16,040.00 = 5,069.50 : x
  2. Step 2: Convert to fraction form
    10,693.15/16,040.00 = 5,069.50/x
  3. Step 3: Cross multiply
    10,693.15x = 16,040.00 × 5,069.50
  4. Step 4: Simplify right side
    10,693.15x = 81,314,752.57
  5. Step 5: Solve for x
    x = 81,314,752.57/10,693.15
  6. Step 6: Final answer
    x = 7,604.38

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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.