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Finding the Fourth Proportional to 10,693.44, 16,040.64 and 3,768

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Solution

The fourth proportional to 10,693.44, 16,040.64 and 3,768 is: 5,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.44 : 16,040.64 = 3,768 : x
  2. Step 2: Convert to fraction form
    10,693.44/16,040.64 = 3,768/x
  3. Step 3: Cross multiply
    10,693.44x = 16,040.64 × 3,768
  4. Step 4: Simplify right side
    10,693.44x = 60,441,131.52
  5. Step 5: Solve for x
    x = 60,441,131.52/10,693.44
  6. Step 6: Final answer
    x = 5,652.17

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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.