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Finding the Fourth Proportional to 11,721.70, 16,178.70 and 7,742.98

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Solution

The fourth proportional to 11,721.70, 16,178.70 and 7,742.98 is: 10,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.70 : 16,178.70 = 7,742.98 : x
  2. Step 2: Convert to fraction form
    11,721.70/16,178.70 = 7,742.98/x
  3. Step 3: Cross multiply
    11,721.70x = 16,178.70 × 7,742.98
  4. Step 4: Simplify right side
    11,721.70x = 125,271,350.53
  5. Step 5: Solve for x
    x = 125,271,350.53/11,721.70
  6. Step 6: Final answer
    x = 10,687.13

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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.