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Finding the Fourth Proportional to 12,185.40, 16,803 and 7,933.20

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Solution

The fourth proportional to 12,185.40, 16,803 and 7,933.20 is: 10,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.40 : 16,803 = 7,933.20 : x
  2. Step 2: Convert to fraction form
    12,185.40/16,803 = 7,933.20/x
  3. Step 3: Cross multiply
    12,185.40x = 16,803 × 7,933.20
  4. Step 4: Simplify right side
    12,185.40x = 133,301,559.60
  5. Step 5: Solve for x
    x = 133,301,559.60/12,185.40
  6. Step 6: Final answer
    x = 10,939.45

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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.