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Finding the Fourth Proportional to 12,840.40, 17,721 and 7,803.52

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Solution

The fourth proportional to 12,840.40, 17,721 and 7,803.52 is: 10,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.40 : 17,721 = 7,803.52 : x
  2. Step 2: Convert to fraction form
    12,840.40/17,721 = 7,803.52/x
  3. Step 3: Cross multiply
    12,840.40x = 17,721 × 7,803.52
  4. Step 4: Simplify right side
    12,840.40x = 138,286,177.92
  5. Step 5: Solve for x
    x = 138,286,177.92/12,840.40
  6. Step 6: Final answer
    x = 10,769.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.